{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Haz3iD/mu4PellEIIY+fHUZCjts2Kf91x/8Rprc0owPAh82DNQxuPenwalVL8+PAZNsOl7/s9PT0dHR2dnZ2FQqFSqVQqFd/3h4aGeJuO4ySTyWw2m81mE4nE0qVLFy5cuHz58paWFqMBeE+CINBae54nhOBh2nVd/tJ4wutxYw/z+XxjY6MZlHmUmWzOAJvEarXqeR7/+bEZMoyKC4KAx1mz86VSKZvNAgB/IJbBPzpKqWq1mslkeJiOosjzvOk6Civcp0i1WtVaJxIJRKxWq4VCgZ9kfrBnjrgejb8+2lqZ38YHe7ZWiOj7vuu6juM4jqO1jqIoiiKlVDab1VqHYQgAnucholKqXC7ncrkZPa7JUiqVqtVqW1tbd3e3ECKfz/OzcfTUhX8cy0C4ruu6rtZ6YGCAn9JUKsVqOJlMCiHCMIyiKJlMsgiYLRKJxODgYHNzMxH19/cTkeu6iURisvebECIIglKplMlkyuVytVpdsGABDx4zs+PDpFKp7u7uSqVSq9V83zfzw+OVEc8j1O9Ani9Vq9VisZjL5aSUYRhOZG484hqNqsOISOoIQuUfOoh+hYKyC1FCoqYQEBQKhUIjCAIAQCAByquU/d5uqOS95hYfNIHCYVEogAiJEDQKBAAgIERF7DhAAQqFBhACEODwwdLc0B5s0wCATVxXV1cikfA8b2hoyJy0+DnkyfnMwVL7aBnNlpYts5SSNboQwvd9IzQBQNVJJpN8J/CPvGUppZnX8dbMHXWiFTzhqQ6fT6210evJZJI/wI8bK7N8Pt/U1BQEQblc7u/v37dv35YtW15++eV9+/Z1dHRUKpVCoVCr1XiDfIfwc23OqrlkRJRIJNLpdHNz86pVq0499dQzzzxz1apVzc3NjY2N/KRDfT7G83ao33XmghLR7I4ybxyWpwCQz+drtZp5f7L3IZ9VlihhGPL0FWZ+5sl3TtzYRlFUKBQymUypVOK7izU9z/3GshvsAVRKeZ5HRKVSqVQqLVmyZLr20wr3KWI8ncVi8ZFHHnnwwQcHBgZ4RjXq5yd74451g5rbNy7fASCdTgshHMdhPed5Hk9Vk8mk67qpVCqTyTTUYSuWSCRSqZTrujxU8BGVy+VUKpVIJIiIp8uO48w11Q4A2WyWDe5dd9319NNP8yForY23Y4SyGev8s35iF4vjOO3t7RdddNH111+PiDxq8mSAz8PrekanHTNIJJPJIAiI6De/+c1PfvKTSqVSrVb52o31h6O+z+enVCo1NjYODAykUqn3ve99GzZsWLx48cwdBQDceeedv/3tb5VSPDuKoiiRSLBza0a/d7Y4WlLzizAM0+l0qVRqamr64Ac/eM4550xty0cLd75Lk4qgUty/a7v2S+RXHFQJF5WKQCKQAwQcHokEArQgkJVS4dChBYOD2NoiiYiUlAnQII70lWs0UZVIBIigERBADrvVhz9MQCb8Us6erx0A2KCxHurq6vrSl75UKBSMTuLPzIRwH8tux/3rGCOXyxnVznMMliy5XC6TyTQ1NTU3N+dyuYaGhlwul0wm+/r60uk0e3nZ58IbjKLIdV3Wl2EYBkHAmvL4cOJOHLbPPGcTQqTTaQAIw7Cvr6+pqcl13SiKgiBwXbdWq5XL5UcffXTXrl3PPffcyy+/3NnZWa1WzQTbbJOvFFvOETMiImIjFkWR7/uFQqGrq+uVV1558MEHeeQ9+eSTzznnnLe97W1r1qxpa2traWlJpVKe5w0MDKTTaV7q9H1fa+267nxX7QDgOE4URVu2bLnrrru6urp49FRKjeWmGev+DMNw6dKlV1999bnnnstTLzN3mmni7k5EDIJg79693//+93t6eqSUPGFOJBLxFf6jYWcfD3YsS7LZ7C233HLWWWdNy05a4T5FzJIHEb322mv33Xff3r17j8H3jjrqsOGOf8Ys/IVh6DiO53nsWk4mk+l0OpFILFu2rL29feXKlStWrFi8eHF7e3tzc3Mmk+FJIVsiY63mpn+0qampv7+/p6fnrrvu4hiMRCLh+/6kNsJDJk9ReFrf2dn5lre8ZdmyZTwTiAcLHXvhzhARL3rs3Lnz29/+9ve//32oO+GmsDWjmJVS5513XhiGTU1N07zHR/H888/fdddd7IPhGAA2gjP9vXMNREwmk9VqNZfLXXjhheeccw6vdI2I4jj6r+IrsyNWaePvS6X10FDPa7sTYU0o3/XQRQxDLaREEoKQQAgNSBq1ANCpSFX6uqsDfSlY4whBpBFBaRKAQAiEw5XcAUkQkhB4ZKzdcGdVhWCeC85iBar/8ayglDILjFrrn/3sZwcOHJiscZgh4sI9brehHlrNF9TzvHQ6nUql0ul0Y2Njc3NzNpu95JJLcrlce3t7S0uLEfSZTMbzPNbr7LVlL8wJ+HxBfcHBaHe22AsWLFBKFQqFarVaqVT27Nnz8MMPP/nkk88880wQBObGMK5WVopYj2MxYUu82RHLuYyJg+e/KpfLWuunnnrq6aef/uY3v7l27dqLLrro0ksvPfnkkzOZzLJly6IoqlQqbBCwHs9jVgbmKTyT2bVr1w9+8INXX32Vr4WJyJ04iHjKKaecccYZ5uRorY9ltKrRA0R06NChH/7wh/v27eNVEajPT8bfQjKZ9H2fP+953urVq6+66qrp2j0r3KcIuzRc181ms+l0moPk2Ck76ueny+M+wmlkNp7NZvmZYT3Hr6Ee7sL+AN43fpZ27doVRREL1tbW1nXr1p1++ulr1qw5+eSTV61atWbNGna6szPAKPhxduwYw9HtLS0t119//csvv/zUU0+xB9qc//ja8Tgkk0lWsTzUlUqlF1544Yc//OEnP/nJTCbDc2WWmKw1Z/q44lAMNhMPPPDAI488EgSB4zjpdNpc01H/dtT3efhpamoaGBhYs2bNzTffvHHjRj7SGTwSgPb2dt4ljis1759o+V5ElEwm2e4HQcAL8WMlKhzN+E8fEYEf+t29lb7edOR7GCEIgSS1VuRKQq0dBMG+dgAFAFmkgXK52NebCqoykwiVZi/6cAtVAAHD/VQREQWJMeoZsIJnpc7/EhEAwSyZC77Z2G3BSQVSykwmE1++j39yuhjfbsNRnX147DCYz3NgdK1WM+HvPL788Ic/FEI0NjYuWLBg5cqV69ev37Bhw4oVK970pjc1NTU1NTWxZmXDPs7+HK9wiAKfq2q1GgRBKpVKJpOVSqVcLh84cOCZZ565//77H3/88d7eXjOosVuUR0bP8xzHyefzMFpmAv8JX5S4zeRATQ58Yozc5FHppZde2rx583e/+92LL774ggsueOtb37pkyZIlS5bwIgB7iDisYtTjmi/XMQxDjjXlOQwfEUeVjPr5sY6Lg8hZtddqNb6gx3JWYzJJXNfl6HbP81gO8e6NP2Iavc6xQxwtM40X0Qr3KcL3EHvLeNGN9d9YD950DQ9Gj46wKaVSKf4x43TnpEAeJPgddkLwSMZZMn19fX19fU8++aTneevWrTvzzDMvv/zyM888c+nSpZlMZsQX0evlZBwbWGtKKd/ylrd86EMfevnll3t7e0ulEmvruGo3y9Ojbod9HvxcceBQd3f3nXfeedlll23cuJGd01BXAMfe3W5G9MbGxi1bttxzzz379+/PZrOlUolvucmGyriuGwRBsVgEgHPOOeeaa65pbW2tVCozbRP5MTFxgSOico8/zHEdPccul8ucO8GacoIbHBFrMeKuZhlBRJAvDe7d79SqThQkHYEUkiIpBGjhgEMkNQhARAIkjSRSgqQOB3u7mgp5J9NMoBRoAOR/hv3pIBA0/4A04n7TR+4YxCuVzaKtYIHFp4WFUaVSYXNn9i3+Yqb38+iv4yfXFBUY9UHgRPm4rM/lcmEYFgqFwcHBHTt2PPbYYxxLc+aZZ5533nmXXXbZmjVrTFDf68qL4w+et3AkXiaT4dTAzs7Obdu2Pfjgg7/85S93795dq9Xip50DqTnEiDFbiz/FZvSMXynzfrVa5W/n8EWOCVRK5XK5YrHIAXJSykKh8OMf//inP/3pWWeddeGFF1577bWbNm1qbGw0QTLz3R6y0uAYLTb1RoFMaju+75fL5TAMa7VaGIacb3YsvTxmrOe1F6iX6wAArGcwjxMqAwBBEJhPKqU4s2u6ds8K9ylCsYQVAEBEk8o5Xdsf9f2xHgAO6ORbxLwAAJ7tGZHE73N4VnymYR62LVu2bN++/cEHHzz33HPf8Y53XHTRRYsWLRrhFJwL2l0IUa1WeWA755xzbrjhhh/84Ae9vb18RY4enseCgyDZ/cmTmWq1un379rvuuutjH/vYm970JooV3jmWBz5iLO/r6/uv//qvZ599FurOgNc1HKPCA1utVjvjjDPe+c53rl27ln0bMz1gcOQVu5f4YeH0u+NeWJh7hv/lmC4eFdhiQL3Oz0S2Zm4/c58b3Tx8Efv6evZ2eBogDJOOhFol0uSgBA0SBJGjEABBEgkSAEoq5ZI71Nc7ONDXvmQF3wYSEQiGtXtdvw/3Tz0i+ZQAZSzEHUZUkZlFK8GVH1i+O47T2tra1dU1WeMwBca32/Hfxudg8TvEhNCY/FqIlZ0xMogfW6520tnZuXfv3oceeuiee+655JJLrr766tNPP91xnFKpNMH76rjBaCy+Abq7u5977rlnn332V7/61cGDBzs7OzkZgA0RG3bf9/msQj3Z1CRExg0j3zwjAiSMR4yzFdk9YTblum6xWOQtsLInIn7/qaeeevXVVx9//PFLLrnk+uuvP+ussxzHGRgYaG5uPkZnamYgojAMS6USu2nY5nueV6lUxvr8qO9zWG82m00mk1wCpFarmSd6RuFbiCcJXJmKHedGtZvFFhy7qIOZPBMRr5DncrlpvLhWuE8R3/d5yZvXg0zhp9naH7YLBrMUa3aJHe1xvT7C98OTY77bOjs777333meeeeayyy676aab3va2t80FsR7HFFgQQixcuPCjH/3oE088MTQ0NOI8GMZ6wDjahJfRfd/nZBop5Y9+9KMrr7xy7dq1/Lc8Q5iVGES+Utu3b3/ggQfK5XIikSgUCiaScrLigw8hkUhcddVVV199NSIem9Gdvexc08a8M47hO24YEbHA9yfnQ3OQazqdnsL5H+F65ztBaw350lBPTxqIgkB6oJTSSnmuqzRKAgVQj3Xh+RJCFEmkUrFYLhTb6psSov77w9TfOuJy1X3yccugyfxutuJkIJakqJQqlUrs0TT1+I6+62b6PjRLTEd/b9yxwm8alW/cQBgrdhGP0zB3F5cv7O/v37Jly6OPPnr11Vdfc801p5xyynE/MR4BF/1Mp9NBEGzbtu3Xv/71T3/606efftrIPlaWENPcFAt6YfEdH8f5Y/ya6rVNzCWLp9ez84tHWFMFCABYHnC4M9Zj2VOpVKlUevLJJ7du3frss8+++93vvuqqq9asWTPf7aGpeMgL1HyqpzBOGQ9j/MId4xVvVkQcOsUTaZiwcGchwfqQL30URSPCIt4IVrhPES77beb3MMeEyNGPylgVPOioxBGzMtXR0fG9733v1VdfveCCCz7/+c9HUbRo0SKoe+7N3GBGD2QspJRcHAAAlFIrVqz45Cc/+b/+1//at29fNpstFos85SWi8TNW+di55CW/wyeqq6vrjjvu2LRpU2trayKRyOfzXNXhGBwa17eRUvLk8MCBAytXrvza177W19cH9XJmPHi7rjvW6hvH5XNeMq8k8F95nlcul6+99tpbb701m81GUcQFQGf6oDjWk/0uPAWaOw/LjDJCkzHcOkAIwXfUOCFPEABIAAERhhFoBHQBUSNoQa6oEEVISSA3rHiFMlT88Pc/OUn0DuZ7k5qC0HW85jAMK0DCFQARYSQIAITUrOBFigaxGgUDOrFznzypnGlvLPhhFSnlOg6AQALQLgGhVCBDAKc+dNa1TP3xH+VSagCAkAABUAMAV5fkv0BAAESQQMiROdzniZzpcRDwcqgJjR0cHIQpCYjp4uiV2HH2ZNR5xdH2PL5xnpNEUdTf3//b3/6WF05vuummq666amhoqKGhwVQQL5VKDQ0NPHiNUKUw52Op43Mbvr7szoT6GgtX86hWqz/72c/uvPPOJ554Ip/Ps4oyIjLu8njdFfIRZ36cz1M9E2kE8WmAGW2NTy0IgocffvjFF198/vnnb7nlliuuuIIDF4UQpVKJ795x7tu5dr2IiNcf2DERjwebFPzkQn0mQPV49+nf46OIL3xxKCNL8KMv/eseF6cwmTneWJJpCl5RK9wtR8Cp0Ka3lO/7W7duHRgYeO211772ta9xdAp/km+1Waw2Y1wmQohMJnPyySdfc8013/ve90qlEhsO88BMYeNBELz00kvf/e53v/CFLxSLRQ50OwZVZcIw5LRgAOCkupUrV37nO9954oknDh06xJ8xjbHGOTRz7Gw7zPwkDMPTTjvtyiuvXL58OS8jQH3Mm9HjsrxxRCwOBRE18TOoFERJFAAYFfLlQjHyA4kopZBSImlARBQAxIqZEJCAEDSBACAWE2FUKZZ0IS+aF7rSUyjpcIA7QP17J1mjXQABoAIAQAmoERCwXj6SE1iHK88QAPKOWaaGcQFyKmR3d/cvfvGL11577bnnnvsf/+N/RFGUz+fb29srlQoRlcvl+V69BOpp7uwy5wCYWq2WzWaffvrp++677+GHH96+fXs+n9dzstcbuzASiQTPuHp6eh544IG9e/ceOnTo2muvTafT+Xw+m82y+2ZEetWJ4O+wjI8drS1HEF+35UDAoaGhoaGhgwcPfvCDH/zSl77U2tra3t4ehmGlUmlsbByxvHssMTNjXkTbsGHDzTff/OKLLz755JPcVZR/NYXpPgBorffv3/9f//Vf73rXu1avXs2+nGO2VMf+JO74WCwWv/GNb3R0dABAKpXi900g7Pjb4asZzwRNJpNvf/vbr7766qamJt/3eQLAvvljcWCWyVJ/qoSJOecfBYZagwQBQCpCgaDCwa4ufygf1HwB5ElXokDSevhJGWWw1wAaAQB0FBX7+we7u1sXr0xkUjWNMIpMPxzAHitFWd9wvKJ87LtQSAAA1ID87CgBSMMe93oJ+PofkJhzHsT5glmxYZ0KAJ2dnf39/YcOHWpoaLjtttuam5u5R4cQ4ujSOvMOIuL2SRDLAkyn0w888MA999xzzz33DAwMQN2vNAcX90ydSnasAACH4Pf393d0dNx2221r1qzhyNWj89ftM2Kxo7XlCFgUmnhKk1IdRdEDDzyQz+e//vWvu67b1NSUTqfNeivMxkqrqDcjZOd6Y2PjGWeccd111+3du7evr4+DZDi7f5wOZ+MgpXz11Ve/9rWv/eM//iMiViqVY9CIiuNJ+NxyKOQdd9zx4osv8oWIe9lf91SbcEyegLFqv+CCCy677LJVq1bx1Iujq+dgkX7LMIcvskBWtgBIAAJUpEBKAQQ6AhBQLvXv3++WqxApF4UkoEiR1qJe3gFMgcd4QyWUiCS1LhcKhZ6e5kpZZBpAAwhHI8ij1Q7VPejmDd4Mxn88vNPDofT1z5uwDKOlcDhI/si0Vsvk4SVBrTUnsfDp7enp+fM//3PXdW+55ZYoijKZDBvG+R77HgQB264gCDisYmBg4Omnn/6f//N/7t69m1vLcQY82/+5JtzZOHPdfSllOp3m4JnNmzfv3bt3cHDwv/23/7ZixYr5fpksM8SJVUTZMhE4w4bDKkxcF0eJvPDCC7fffvtLL72Uz+c5XDKeXHXsoXqFYxammUzmhhtuuOqqq7jWnkkPn4Kn3Liov/e97z300EOmd/G0H8JYaK2bm5u3bt16xx13cHRmEASlUolfc/j+OG5yU3KRtT7Xclm4cOHtt99+xhlnAECtVjO9+malq5RlInAEOGtaweHiJIY7HBERKQHaJQVBTQ8ODB3cJyPtErkgQJOKIlLR8J2Mh93g/FohaAQFBACukFCrVfv7dakIpJC0Go5Kh+GIl+GhQgNqQM3OeuBIm/p/CkDVf6HMfwgKIaoreAJBdNhtf0SFGiSysTJTZUQlYkQMw7BcLg8ODjqO88UvfvE73/mO67r9/f1a67Ey+OcRnK7DPZUQcXBw8Hvf+97nP//5Z555pr+/P5lMcpCJ8WfPNDgGY32e605yRDgncVarVV5iHRoa+rd/+7e/+Zu/2bFjB9djYWs/i+OsZa5hhbvlCFjnsU3hbG52/XJ+ZxRFmzdv/tznPtfV1VUsFhsbG2GMwggzTTx+nUvnsnZfv349VznMZrPsbsEptUp2XZeDCwcGBr7+9a/v2bOHk4Sm/0iOJIoi9iTxSPytb31r79698cxFE+9o8tzHwqxFcERNa2vrBRdccOWVV7a3t/NSCRfpD8NwjnSUtBwN1UNWkGIlFwGAQAgA1AjKJYBCodx1KOjrd4k8EC6h0Br1yKdS4/B/nCTKG9dae0I4UegPDgT5IfBrEiJBmhD08JcJE9OCREhEoAiUBkVAengCADr2n1HzEQyrdlbzw8tyJEAjkIB6VfhJRs9bRmLqeABAEASVSsXkRCaTyb6+vn/913+9//77uZzRcRAXx/0opJRtbW1DQ0Pf/OY3//7v/37btm3JZJLTGUulEuet8rrrbO/vSNikm1QlrlbOY25DQ0OlUrnzzjv/9//+30888UQikTDVCKx8tzBWuFuOwMhcXn80CaCe53Ezv0wms3Pnzs997nOVSiWeNH2M4QVQrFdBNh0fpJTnnnvubbfd1tTUZMT9FPaQDSuHGD788MO/+MUvisUixpqhjGC6joudNCym77vvvnvvvTeRSPDBcqMQXg+Bui4fZ1OmajVXJj711FNvu+22BQsWAAC3czM1kexIMGeJe8oRZLz/keM4AsgBkjqAof5Sd6co5UWkpQYHUCBKFI6UiBgpBUc2TtImUVUKrbVL5IZBODRQ6+uBStnRCkETKQ1CH3aL193tqE3EfN2PPlz2XQMQHfHfYRF/xPtHFHsHRESzActUYANoohZZnWcymUQiwdXBd+/e/ZWvfOX555/nBNbZ3t83Co9N1Wr1wIED3/ve9/71X//1wIEDbW1t7KfgSQvbTJiT2ZymJDnXAgIA13XT6TR3eM3lckEQ3HXXXf/0T//0/PPPs4/GYLW7xQp3yxHErX+tVuOu0SwWsV71Np/PP//883/7t39bKBTif3ssrYkJkonHfHPN1MWLF996662NjY3JZDKVSiGi6Us3cbiAa61Wq9Vq+Xz+5z//+fbt2+NLljMk3KWU3DGuXC5/85vfZE8/63iO169Wq9zPfPzR16zSck2rXC63adOma6+9FupRT3xOtNaJRCLeXcsy5xl2VAsUDoADCnSkS3k9NJjwq6i0VCSJXBA8zeOpOCFoFHGDz9odhCClhVYyDKFYVPlBqJSECgQNh8pQPVwHCQQBkAY4ovwLGW/6kQmwaArHjPyPiGjY7T/8UavX3yjcmpFn+Fw4PIqicrnMi2n5fF4I8fjjj3/ta1/r6emZxg6OswWHAubz+TvuuOOv/uqv9u3b19TU1NfXxzWzpZRcr5njT+bgCgP7102mB8emcs0frXWhUOCKkPfee+/Xvva1rq6uo8caq91PZKxwn2VYWbLM4sg8kwg/KvJInDpQbwDBIpt9z+Z9lt38jbyoOtb22aDAkXaB+yBks1k2Ltlstqur65e//OXdd9/N5VYg5t89Nv4Ao8WNUeZlYu5PtG7duv/zf/4Pu2R4qdREm5gj5RK5Y22fPTdY74r3+OOP/8d//AeXYent7eUJA/84tVbM5hSZQo3cncE0KvrOd77z8ssv8+DEt0Tcv05HthEZNbaSP8/dvM8888y//Mu/NMnEJqidZ2JEFL9DZgLHcTiNjF83NDTw+DrW/o9zXGPBLe54+1Puj81hVxxExFd//MJ5k91/3loQBFxt2rQEGoth1zgRh6iQRg43iSKlIt8FoKAKgR8V8p07t7clPBdRErG7XEdKa02xZ+RoKrVqIukqv5YWwglrvXv2wNAQBIFDSiIIAI2gNHDWo2DBTvW67EREpIk0gdbDulwpisKQwghJOQgUBhCFSNoR4AoQOHzSDq8kEAHMudzBONlsFuohaolEwnEczhSf1P0Zt8zMiD8Z9TUPB8ZpMs72D0dDac2T/KN/m0gk7r333r/7u78ztbERMZ/P819xGa43cqJmgngRdE7l5IwdLnD5b//2b//+7/9eKpWSySQHu0O9Vno8up2jKOMDkzn5xv3BQTWjZvvELw13XYz/1lQc58tqvsWMv0dvChF5J81lindZMZNtruz5wAMP/P3f/z03O3cch11piHgczL4sU8YK91mG7YvneVyGllNCIaaAR6COJKoD9RVSA38g3hnOdV1TOHYKuzqi4VR3d/eDDz74yCOPJJNJ7jHGW55d688TDCJatWrVn/zJn3CCJtVzgOJxJmZFdSxMLQL2c+/YsePBBx+sVqtcW4bHb3Z0TXlvOZ2AC01yIQgicl33mWeeefLJJ/v7+ydlnUfcKtw1OgiClpaWv/iLv5haku50wbKDJ5l81KPu8+syzldwKJfrumN1qZwIYRjyzQz1mTDfPGN9frL7z52nsF7Kk/XTONsXdORPCAQ8+ZGukEhKag0D/UMH9nuhL6tFoTkSHQAAcLiL6dER5ILqWxYSACRpj7RTq+nCkB4aAL+GSol6dikJHFbc9a6o7PJnpzlPLaQY3qzrYMpzE55ArcJKMes5GVc6OgqqVb9WIyIBh3NOCJHqUv51Lsws4bou1YPxuKdmFEXs3ZjU/TmW0B/1T6hezostPL2BkD+MzdKDICiXyzt27PjNb37Dvdu01rzaJoTgUrOT3f5MwzaWzy2rVR7XHMf5r//6r7vvvntgYIDHHVMHc1IY7wwRcflFz/NyuZwppwb1/jg8dvAY7XleOp3mwjV8Ebm1Jw+4iUSC6/aMsN4T3z0i4kFBCNHV1fWb3/zmzjvvrFQqYRhms1mulsPBq5M9XsvxgRXuswxbVQ5+gLocHOfz3hhAzC7w1J9FEsbc8OyroFjruEkJI+OM5+CZYrH46KOPfv/73+faMqZ9LMz2MMxHunr16g996EPnnnturVZjy84Wnw8/PgMZZzv8gidC27Zt+/73v9/R0ZFKpXgIZw06tdGO/9CMGVD3SQNAf3//L37xi8cee6xUKvGujt+ub9Rrh4hBEPD48Qd/8AeXX355Q0PDLDpp+Izxfc5L2DCBtoUThx8Bk4tMRCYcaFIkk8lMJsP3iZn9Tu/9nMlk+BnnWfTrrgwgDDcc1UAUs9ioFUYRaDXYdahrz640aCescTSMgMPxJ3HVznpd0LC4RwLHcZDARXR1JMMgGOwvdXVBtQZRBJq4VoxGABQCCUmbIYOIgOvbEAKAJg5916gU6AjCQISBBFUe6AG/7EhMedITCBQCaBBosmPNrk3HqZ1+OOAE6iVTOa6soaFhCtsxJohhC8DWO5FIcGd19rZCvcphNpvNZDJm9ji12HT+c6y3at+6detdd91VLBb5R67NAkeGHc4ReLfNOiGPaKyVf/zjH//Hf/zHK6+8wsW+WOZObf95rGTfGQAEQVAoFMw6NtQnXWxj+QJFUVSpVNj5zWeP6r4hXvHgml1cvCF+OBPcH6jP07iI++7du7/97W8/88wzfEKMC2Zqi4qW44A5F/t1omEee5MSaib3o35+xCQ7voRHdX98XEOb7RirwVphsk534/mAeqNNx3GGhoYeeuihp5566oILLuDlV7b+s2hQOLSRXVaLFy/+0Ic+9OKLL5p5EZ9n44UaX3ab4B8OQOQ6wY8//jj3HGWfB/tXprCffJY4IJVttFkneeSRRx577DFu0s7OlSkIXK66UCgULrnkkg984APsoyqVSrMVzs5LChwIxCNxIpHgNd9JbWesz+dyuXw+zzc/39tTm6XwiKu15g7bPFJywsOon5+sE5T3yvd9c9HZgztWQA7W2y5xlidivbxMpElFKDQoVeztyXd3LnTQowjrsekQq0jDiHplGBjRgVVrASQgcpX2i8VKT1euUoVIC61IOHwSBZBEBMUCW8SL3PBmldJCgANEYRCFPoJ2pJCOSKKGMABEQCFQgBAEWhMIcDQCIgjC+v6IOVjMnZ8j84xzCPU4GnqC9zPFojjiJsh44hOJBCe6mA9TPTpuUhiLBwAc1tjX1/e73/3u2Weffdvb3ob1Hh0w92rCUiysBepClh1G27Zt+/KXv7xt2zZeVORVrEQiwe1Ix9la/OpgvX+fCVkxcapExJ4FDroz55C/xSxlmwIGXMOAVzB49sUrsUcvxk7EXHAAD+c1cUECz/NeeOGFb33rW29+85ubmpr4qAcGBlpaWiZ3Ti3HC1a4zzJExN3sKpWKlJJ1ueM4Y9noo8PmjBc8Xg3GOG+q1SrP0SE2PZjCkiubEmNTWBlrrQ8ePPjjH/94w4YNS5YsYSd0GIZT07LTBYst7g541VVXXX/99T/+8Y/ZT2OWnlk7jr+0zcaaUznZa9Xd3X3fffeddtppp512Gn+MYzP4Gye1k8aFw3/II0Eymezq6vrhD3+4a9cuXnud7LGb3VBKcZmCz372s2vXruWAnFm8Lpwex2Mb1G/FqYVsjUpfXx/U71I+k3wDTNYJx3FffLfwSeOKqNO4OMC7lMlk+Fl+nYuiCcVwPAmhgHrCKGpCFuaVSqmvNyoVvXTGURGKkZme2vRepcOq3UTgEILWkRRSa51E6YdhrW8A8kOwYDEAaIBIa0KQCC7xGw4AEojhzdS/DAE8KZAUkUIJIB0IgrBYdHM50ArKBUUoE0lIZRAhCkPpIqAkAEDemTlaw91IXl5mzGQylUrFcZzpaj4aT19hfw0/GibJMu5/HWfxZxxbwXaMiExcx/79+3/605+eeeaZ3Pqav2Kc2emxxxwODzRQt5AA8MILL3zjG9/YvHkzv8mh7ezqHt+kQ31ogJid5O3zk8i11fm3nuctXrx4zZo1K1euXLRoUVtbW1tbGxd78X2fa78MDAx0dHTs2LHjwIED/f39PPJKKXl1hVX+ZO8TdhKZuQpLfw7Zv//++6+88sqrrrqqpaWF7w0Y+7rP2dgzy7RghfvsY5bbLrroIgBgqT1WPpkJr4yHsxMRB8DxLD8MwyAI2GfgeR679LBe6JdXbCc7AJiVgRFFrIjot7/97Y033rh48WKorxi88XMyZVhpscskl8s5jvOxj33s5Zdf3rp1K8QcWq8bMGqEO9Q9UjwLevTRR3/zm9+sWrWqtbWVfzU14c7eLx6NeG7AAZRPPPHE7373u/7+ftd1q9WqWZ99XeEYH5B4vpFIJG6//fazzjqL69LMbj3j9vb2888/30SR8goAZ/dOajtjXTV2kPu+/+ijj/LlmNq6OSeZnH322SYWv7W1lZ+gUT8/hbs9mUz6vt/Y2NjQ0MDlI3iMH/XDgtUGISGoeqkWQQCOhEiAVrW+3kJfr6Mj7VdQBeAe3o4JQD9ih2MKHoDDYQAAIAwTSTcBVBno87t7E8vWQkaBAwpJEyXZ1c9ThdGOWAICEUQhggbXAYoK3Qd373w1I8XCxUsblyyR6SwAQVhV0pOeSwC6vi0xvF/AkV9zSnPwI8MWde3atatWrSoUCrxQNurnx7o/jdd8xDuVSsXYcM6lKRQK5XLZWFczaWQDPoVHmBf3qN7VgZ1EDz/88CuvvHLeeedhvVbBHEx25HNizAUi5vP5xx577Mc//nGlUmloaODpDT9QURSZ6foEMTGTZjhra2tbt27dSSeddMMNN7S2ti5atKipqYmjmJLJJPuqeJGET2mxWOzs7Ozr6+vo6Pjtb3/7q1/9qqury3GcbDbLFR2Myyx+UOPsEvcPgfrl5r3iduaDg4N33333pk2bFixYwAaE+wxO6dRa5jf2qs8yvETuOM6aNWu+9KUvrVixgqX5WANDKpUyJthE4rLxYqM/ODg4ODjY398/ODhYLpd/+tOf9vf3d3V1FQoFNje8/DfWADCWWeGoBqrXWom/2Lt37xNPPLFp0yYunT67S67Gjc2G3nGcM84449Zbb/3nf/7noaEh3mdeFuBJyFhOX6OAjQTkETSfz997773r1q275ppr+GROOTBU1zuhhGHI9vqll1763ve+19fXZ3J8zQgx/qYwBtQ9RmefffYHP/hBTtY07ufZimL6whe+8MEPfpD3JJPJmAozk1VpY50KrXWxWPz973//4osvcu8VqC9rTGr7URQtWbLkS1/60vr163O5HMcqFItF7op1NJPdf14H4x4IK1asMCFbY/4BAR4RC26KsQBECgL/0P79A709C1xHB4GLFI742Ii9rat2cxNERBJRIFVVkMB0AjA/ONR36NDSDRWKFAIQ4nDfJKL6Ruuh7Xh4s4gU+qGjIyEAarWhzv3bt7z02q7dlb7e1WvXbDzj7IUnrYVsAy+ySMcJiIhIIACgAnAAiAAJQc4t7c72IZVKtbW1feYzn/mDP/gDREylUmOlpE/QAxqPAzHZFNw4aWhoqFQqbdu27dlnn33sscc6OjqgbvY5JmRS+2+2z8u5ZvV17969Dz300Fve8pZ0Om0M5uxGOY6KcU5JKavV6q9//etf/epXHBIThqFJ7pry4qQQgk/LokWLNm3adOGFF1555ZWnnXYar1iayBkealkoczgor7W2tbW1trYqpS655JLrr79+27ZtDz744H333ffiiy8CQHt7O0c8wpFrCDD2I384b7sekcUh9bw/jz322P3338/TCR7pJnvUluMDK9xnmVqtxmEYvu+3t7e3tray9Rw/imCEexXqVqypqWnNmjVsfNmL8NnPfvbgwYNPP/30L3/5y4cffnjPnj0AkE6nJys3OVHG5BdCvbMPZ9m/+OKL3d3djY2NHA86i0Ov67rlcjmTyXieNzg42NzcXCwWb7rppscff/yVV17hUVDUOzfx+sOo2zERHbzcacaGTCbz5JNPPvLII6effnp7e/uUSzEY3zPUvXpDQ0PPPvvs/fffz/MK02GKI0zG2ZQ51XHhnsvl3vOe96xYsaKtrY21MnutZiv/rFQq5XI5nl6y7uHZxWSjZca6r6SUuVyOJ6hmmeJ1T93R8OLVkiVLOIU0nU67rtvc3DzZie5Y8NjPDSx5jcU0vBx/rzQKFs6aQ2WCUAcBVcv9Pb3lQjHhelirJRKJo4+WsB4hc9SeIoEUOKztIoUEAtEvV4YGB5f6AXHOIojheuzA4tp4EI+4EI4jAl9xumttoOfV7a/senVnIT+YQdi969ViuXp6GK7cuEmk0qR0Naihm8R6DXjJG57UeTxWcO2OfD7PNQcXLFjAAYFj5iSMcX+OJdzZ+HP8HotCANBaX3rppVrrzs7O3/zmN3ffffcTTzzBdXh5JjlxjK3mBS6oWwnf95955plCoZBOp3k5jsOB5lq0jJHOYRju3bv3+9///qOPPmoaS/Gx8NHpejGoSRGGYVNT01lnnXXjjTdee+21K1asAIBSqZTJZKIo4ppvHCpp3FVcJB7q8Us856lWq5lM5sILL7zwwgtvvfXWH/3oRz/4wQ82b95szqdZcjEembH2h7+OY3IAgJdZeAcKhcIDDzxw+eWXL168mGPcrXY/MbHCffbhuTWLdRMGM5bnY6yBIb5kZoLdOXty8eLF733ve2+66abnn3/+29/+9s9+9rM9e/bwr0wgrzEW4+yncTIZY8GOYc/zHn/88RdffPGkk07i+oOza/15WoKI7JZobm5uamr61Kc+9ZnPfIaXJjhAZfxoGWNn2Vdt3BucivDNb37znHPOufjii00xtfG3Ew+pZDzPq1artVqNy5j09fUNDAx89atf5a8z9YDZFTfOwRp/fCaT4fI+LS0tAwMD73rXu66++uq2trZSqcSFqFm+H60Rp3eKNWJrZi7B+wAAfMZMZMh0rc+wR4prUZsFpSlHy0C9NaPRUtPliRzRdmD8IvEAUHOVRyAimSSIBGoATboia26mmgi7oXO3+8hDp1XKmbSTd6Oq52Trug6h3jLpSDQCIJhbSoIPJAicdDpLASQBliXSg7t304FXRVsi3UQVUohpIEeVlPQyA1gWAEmQSeXKSIIGEBAhVLWfzrjgV2GwL9mxK/f8k6u3bl3e2LTA8/f09w0e3F4L+3wsJk4+Jdm4KCmSVV+5jhsFKooimUqQAz6EGigDc0U4MmwSXdc1MRucTT7Z+3aEqYkbBIjdFbreF5NTyZcsWfLhD3/4ne985913333nnXc+8cQTUsrGxsb+/v50Oo2I5XJ5fH+zeQTYr8wGn6P+Dh48+Pvf//6aa66BeoA7H5p5Zo8lI+ykeZMHR8/zCoXCD3/4w1//+tc8leIeCOYPJzj/53PFG+STsHr16o985CMf+MAHli1bZkqumcUHvsrxvYq/jtuERCKBiNywb926dX/5l3+5cePGO+6448knn+TiYNzOj4g4jX6cPYzbfP6RQyWllKlU6qWXXvrZz3725je/uaWlxff92U0ns8wWc2tdzDLtBEHAgqazs3Pjxo3/8A//8Dd/8zdnnXVWKpViZ7lxHryRPti1Wq2jo4NLjE1t4XLmYFO7adOmG2+8ceHChRxXTUQ8GE92a1xdBxG/8pWvEFGhUJhaHXe+Lp7nVSoVdvB89atfPXDgwGS3w2bdcZxischru77vv+Utb7n++uuXLl0aD56ea1UjLBNB1Auu8I9U950LUBQGla5uAYgEqJREAVN57gSBqIfCawAtSUvSe199FfwKkFIqEiAAMUKEiFxAl9AhBFYwAkiAFuSmpCIfhIZScf/OHaW+3saE5+moMDTYmMk0plP9nZ27t24Lunqh5lOt6oCQCI4jPc+TEggAVP1gT3gQkefbjuN0dXU1NTV94hOf+O///b+/4x3vEEL09/dzliRHjMQrjk/qKwYGBl577TV28cK01madRqSUXF3xiSee+M1vfsNRcFOYkLMlJKJUKrV48eJareb7/rve9a6vfvWr73vf+5YuXcoVHnme9rrT6aPhs8deGPZnveMd7/jmN7/56U9/uqWlJV6t8o3Mi2q1WqlUeu6553bt2sUrqFPbjmW+Y4X7cQ5bokwm09zczCX5rr766q997WtXXXVVa2srl0rgUrg8p5/s9o0f+qWXXurv72cLNf2H8YZZvnz5jTfe+Ja3vMWUX+QXk90Ou6YKhcKTTz753e9+1+QqGVf6xDfFPl2uYfLCCy9873vf4+apkwLrJQuh7rfLZrM33njjxRdfnMlkqF6TgfX9nJpQWSaCHJ55Cg3DrUkBtAPkaqRybd+uXVKAJI1Ke0JSNAXtJTjuXSMQagHKIZXQYefu3TA4BFHoAGmICITwEoCYBOkRSpAAWFftoDFC0DqoQVgt9R46sGNbNDTQ6joJv6ZrQQqdLEo9VOzevnPfS1vCg4cwCFwVoiIEkBIFACgipV27AlwH6/XLc7kch0mcd955f/VXf3XFFVdAveY6xVpSTBYpZX9//5YtW8rlsilaMN0HMQ2whezv77///vufeuopU0V3stsxyVe+7w8MDDQ1NV133XWf+cxnrrnmmpUrVxo7zCZ0VPf/+HCJAjazYRgWi0Wt9ZIlSz70oQ99/vOfX7NmTbFY5L5OQ0NDUxsi+YqHYcjJD+wmm8K4YzkOsMJ9joJjMNnPZ7NZ3/er1SoXr8jn86lU6uyzz/70pz991VVXpVKpSqXCrZ65gvUUdpUjiV955ZXu7m4atw3kbMHn7aSTTrrmmmvWr1/Pmamm18lkYcGdTCa//OUv79y50xQ34N9O0IyyjK7Valx++B//8R8HBwcnvu5pri+vonKgCPtgzj777JtuuimdTnNCAsRWnK19n3dIQAQJxsGNgKAlaYiiMD/Us2+/J9BBgWHoEpKafGgQSQ2oBCihtSCEyKEwoUIoDA7s3QPFQkoIFQUhKfQEOOBG4ESAigAABChJkVTaUZGugKr43Yf6XttN+YEGUBnlJ6rlhlQyKhdFpdYqHa9QPvjCS11btkClAkEAQU1HNaUjAiCtJQnn+PW4j2/PzWvzIpVKcZdQTgjp7u4WQpxzzjl//ud/ftZZZw0NDSEiR51NTXAjYhAEHR0d3P3AxHBP3xFPD6yGX3zxxccff5zrmk9qhSF+qjnKkTX6hz/84X/6p386//zzy+VysVgsl8scuc4TmHh/iaOv0ahwV1quCJdOpxsaGoioWCwuW7bsU5/61B//8R/z9ABjHfcmBe829z4fHBx8+OGHu7q6TGcVmPC4Yzk+mHMayzI+kxX0XB6RtTXHRyaTyWKx+Na3vvX2229/61vfyjVixy8KOz5siTo7Ozs7O01o+JQPcLowAyH/yL7nG2644fLLL2d9bAqbTAqOO2JZfOjQoa9//eulUokLUE7KdHKFQf7Dn/zkJ/fee+/EZ03xsYTqNQp4JF69evVNN920fv16dteZoiUmH3eyxzvTjHU/T/Y+n2v7OW37TwCckIq8G4BIjlZQ9atdfZWBfgfIFSgUCa3E5FeQCBzC4WgZwggwlBQktJ+lcN/LLwaHDqVBYBgqpUKEsgYIBUYSNBJghKSEVhgJCD1Ubljr3vHKga0vZSK/1UNZLaYgTEhJtZrr+23oNIeRPtQ19Oqu8LXXwK+BDhAiIqUJEFFws6l5wjRedxxNI7K9IiLf9x3HWbhwIaf+X3LJJbfffrtJ1DHtzCa7/xzOMTAw0NPTw3k1s5i5Pj7FYvHnP//5jh07+KhNtfXXZcT55ANsb29/73vfe9ttt61atapSqWQymXQ6zT2MOb2VYiXd8MjZ1Di4rtvQ0MA1ADiYx/M8zilyHOfDH/7wJz/5SZ6DNTQ0mESCid8nvCpuevY9//zzu3btMqlQc9CwW2YUK9znKJN9sMf6PPejSSQSHP3M+YvsJL7oootuvvnmVatWsR3k3m9T3uFKpXLgwIE5UgwYY6rdnAql1Nq1ay+++OINGzZwxd+p2TtE5ArryWTyRz/60Y9+9CNT+sDY0NfdMlt213V37tz59a9/HQCiKJp4uLy5GZRSXKkwCIL29vZrr732qquuAgAuJcaBla/bbcoyd1EIJDSCRi7oopE0hD4MDQ50dHhhBFHkCXRIY6Q56mSSCCCn3pFJA0YSfE/Xsjos7H2t8NoeKJUbUCakExCUSLNk1yA1QighRAWgpYpEGKnunt5XXint7UgHQVpFGPjoYOBXU9JJoXAqlUy11hpF2NO35/nnYagPIt9xhHQIBSsSZx4J98kycU2P9TKF/C8vh1K9+1K1Wn3Xu951/vnnA4ApEz4F4c6e7EKh0N3dzY7bObsit23btoceeqhYLEK90ezE99OcYUSMoiiTybz97W//5Cc/eeqpp2qtGxoaAIC1NdZjDtnHEf/DiXyRMftc8p+LhvFGqtVqa2vrTTfddNNNN3Fm6hSuF18d057lwIEDzz//fLxwwtxxmVmOAVa4H+ekUimlVLVa5aoI7GzWWler1XQ6femll1555ZWpVCqKoilXNtT15u379+/3fX9uJjlBPQT81FNPvemmm7js1xQ87mzuWS4LIYaGhr71rW9t27Ztam6Pnp6e73//+88//zzHo09kC3Gjj/XQdq4of9FFF910000LFy7kOcnRpnwKA4Zl1iEgBTAcD4EaVABhQL19A3v3pqXQQdURKAEhUt4UktVIDhd2RA1IgApQCQjTqNLVWv7VndHO3clQpREirSghQDhaOKHEQEAIRKBQBW4Y6AOHDm1+Oeg41KIgGQQYBNIhoFDryPVkWginVksHUQuiLAz27dpR2PMqFfoAIilIgQIEIeD4jZSZKHhUYAZ7HDgMg3snrVix4tprr2XnLsTqSk2WIAhKpdLQ0BBnbc7NKMd8Pv/zn/98//79XCQX6w06XvcPR9hJz/Oy2ey55577zne+86yzzuLQUEQsFovcuxAApJSu647T5GQceGaltU4mk9lsNplMmnLvjY2NpVJp0aJFH/3oRy+//PKp9Sg0jQWhXt7t0Ucf3bt3r3W3n5jMuQfVMr1Uq1XHcVKpFNs744Vtamqq1WqLFy++8MILFy9e/EZabxgzNzAwwB3spm/3p8JYZjGdThcKheXLl99www0nnXRSOp2eQlY+N9lOJBKcfoSImzdv/vGPfxz/zEQsKZ+0LVu2/OAHPwCAcrnMBcUmvidGtfN0K5fLXXTRReeccw6ff3b8QN2fBPWqoxPfvmVOQIIQNAABEGmkCFUIga8HhyrdPRkpo9BHJEQipRwx6aQ3DQJIIAmpAUATao0RYOhR1CJFbc++wS07YKggwhCiQEpQLoQSlcMFJTVqnQwV1KLyrr0DL76SHCyvTDdmtaRIkeeVdOClkohIKkoIyApKhDVZLojyYNeeV6sDPRBVkEJQkca5Wsh9NjDeX+N9z2QyHNHe3NxMRKeeempzczMAmMq2k/2KRCKhtebiKnNZuHd3dz/00EPcFZUPNplMTkqq8jn0fX/RokW33HLLO97xDiKqVqvZbLZUKjU0NKRSKR4Tj97sxA0yhy2ZGPogCLhOA8fepNNpz/NWr1597bXXbtq0aQrXi2vtcyC+1jqRSLz88svclcVgFfyJw5x7UE80Jrh+OmXY3I+AlZzneVLK8847b+PGjYg4MDAwhaKwxhHied6ePXuq1WoikZgL2j3uu2KnVD6fz+Vy1Wr15JNP/pM/+ZMFCxawo4UjGk1rzIaGhnHOP5tmbsISRREHR37jG9949NFH2fM9NDTEX8fhNPwCADhXidsqcWmagYGB73znO9u3b8d6M3NeuDAt0OOGmKMbOewVALjWBGeVVatV13Xf+973fupTn+rp6eEaERwcFR+Pj4/aYWM9JojIiWXclvz4OFgA4KTUUEcESiAE1YqjI6hVtzz99OKGhgSRI7AW1oTrJBKJyJ90AxoOnRc0XPddo9ZCE2oBkaxWxcBgdU+HfnUXlCvNCRmGpQgAXIh0VPFLoPwsIpaq0HHopV886PUWFmrHLdREqECKADFKJ6thFGqlQaNWQkcJUGmM0hR27tq+b8cWiALya65EpUNfk7bD0VG2a8S/HC+xZs2ajRs3AgB7eSeyWTYFxrxwyhP3GzY99UwyzAwd2jjwUXM+Lu8PZ80+/vjje/bs4UB//mSpVOKCYKPaSU5dlVJyR1ioN58CgPe///1XXXUVIiYSCW6rl8vloD5AmAPnP5/sKBz/MIehc/xkMpnkpFgiiqLo2muvPe+88wAgkUjwDAQR+QXvrZk78aDAe8JeHn6HiDKZjO/7qVTqgQce6O3t5fHFRPjAVPtXWOYR1lKeoPCznUwm29vbV61a1draCvXakVODQ7S5YMsc9NwopbLZrKmnu3Hjxo985CO8oMkfMM0suKfJWNsxjhleG63VasVicWho6Be/+MXWrVsRMZVKcdqr6eJhqm1yM04uwem67g9+8INnn33WdV2eA7CmH+t7jWXnMaBcLnPpg3Q6rZRavXr1pz/96T179pjZiMGGx8xvEDSAEEAAkQ4cUBBF0NsXDg5itZpA7TlIqCMdKdJTroMuNDgKJAEAKAFKQBAEjUmvCdDfu69r82bYu1v4lVYXorAS+WUIKzlH5CRAuVx4Zdvu3/62seo3VoJ0LfIiLRSGJGoSq1JGQigUSoDmyQCEng4T2sfi0MDe3ZU9r6KEanEQtZISQ+sxfD24H3AikWhvb38jIpud+lyQ6o3XF58W2A3BGlprnUqlhoaGHn74YW4Wy/KUnSzjCFN2f3CsOQCYsgFve9vbTj/99La2NtbTfA6PgYvaOBFYdjc1NZ1zzjlvetObarUa7yFPG1KpFDevjYc4sv/Ldd1MJsObUkpxlD8ADAwM7Ny5k71FeGQKk7X5xz3Hi1/KMnlYVuZyuZNOOqmtrW1gYOCNzNRNPawptBU8BrDfpVKpJJNJ3/eXLl16++23P/bYYw888AAPGFxLkTX063ZCjQ+ZXEPgZz/72erVq0866aRUKlUqlbhsGdQDVNg5xFK+Vqul0+ldu3b953/+544dO7jUALxewD1vhBeLoV4DLplMhmHoed4XvvCFDRs28BUc4a6zzG8QiEggAmgVBmlAqPlDe/aEA4Okaq4glKg1hKQdQAk42QeYUAvSkgBAKFLDBeMFuK6TkK4TyrBcLu16ras51+ZBYvWKRCIHAKABghKUStW9ew88/2z30y+sdpPpIEgEIYAKBSmgGqACkIggAAlQDIf6OAQJBSnQgwf37X/55XVr3oxV5SRzhDAXC4nPSTzPW7JkCcSCaiarQdmPy22zjXCfxVgL1qkmaIdfb9my5aGHHlJKJRIJNpIsgsdZ0TUhRiyLefEzk8lwjAp7VdinLoQ4Bp1HeXDhg+LWp5dccsmjjz7a09MTRVGtVouiKN7+lrvy8W5HUcTXiGNj2PueTqdPOumk5cuXr1+//rzzzovXnuexxpr9EwEr3E9QOGCDiFzXXbRoUTabZXs3WdttlCJ3nuOK5nPQdpj2QyY9f+nSpX/8x3/84osvdnV1NTQ0cLgnhw9NJDnJCGg+b6+99tpvfvObs88++5xzznEcJwgCHhJMOU7eLBeTqVar3//+919++WVe2OW6kNxFdZz9Z/XPP3JAPCKWSqUbb7zxtttuKxQKLS0tPHHiVNfpOXGWWYaQSKIgUEpFgBqGhnp27/XCQOoQZYiCQICWqDU4hJP1uWvUvAHUIEBoARECgUDXK5crHunWRK6/XDr0wnOlsLSsuDG5eAW4LtSq+c5D/Xv3Fjr2R/sPNoW1NGpXRUJEWmsQREICEqHWIBG0Qi0EgQZCJUEnNDS5TrVc6du+fd2pe5OLVym/KtykJqIxFoHnoEmZFdhH7jgOB7tjrP/aFGBfwByxFSYWiOcSiPjwww8fPHiQbaPv+xMcntgyE5HneWyf3/SmN1144YXt7e0AwH4Zdi0dg5vKNEzly6S1Xr169fnnn//rX/+6t7cX6nUeuW2T4zhc3cHUo3QcJ5FIeJ63YMGCDRs2nHbaaWefffZpp53GNSU5ZsY08mPtPusrJ5ZjgBXuJy7sdHEcp729nSO8p5BQT/Umcxw3OevR7WPBh8ZecM/zuKTA29/+9ptvvvnrX/96uVxm73XcYz0qPHjEbTETRdGTTz75y1/+cvXq1e3t7bVajQNm+MyYpn18np999tkf/ehH1Wo1k8mYCMXxlzvMd/HHeG4QBMH69es/8YlPOI7DwZTs74/v7TScO8vsQURAJIUmACkQQqW6e8qHOhtdNxkEGIVaKpRIrhQBSE1qshccif+RBFpJgYgICoUfqdD3QWA2ESXCCLoG+qOKGuwJc7mk60AQFHp7CwcPiVKlRThtGdfzayBCjVpLTRJRkgCUJAEkgdAYKdAgFAAggKeDdCTbZOLQ/gP7nn1+xXWroFKBREYICVOpaHliMSIm+41g8imnZcfeCFTv8cxH57puqVR64okn+DBZf3M3EgDgddHxN8ihKZVKpbGx8cILL9y4cSOrYfZns/vG6OOZgw071ovh8HLrmWeeuWLFiv7+fnal87jJYzGXfnddN5vNLl68eMOGDaeffvqaNWsuvPBCTlejeoF/LjdpQmVm+kAscwor3E9QOHSE5WBLS4tJlJnCdswUPy4u52CYO5s5DllJp9O1Wi2ZTH7sYx97+umnn3rqKTaIxhqONTCYZuNmhsOvpZRdXV0PP/zwBRdccMUVVySTSV7Q4KzTePLAgQMH7rvvvh07dgBAsVjk5oiswsdxKZmhi3/kz2ez2U9+8pMbN270fZ+rLhBRQ0MDO2+sNZ/vEBEhCEIBGJGWEqHoDxw4CMVyGoUHAISB1lpKRACBTgSTTVIh1ICABFILRJBaCAICCDQlM1lHyVq15IBc7DnlaqW6ffugQw6go7UMo9YoSmrKQpiMfAFKC62Qe0VpAeACSEVALoDWKBRoAJAclqMBglCk00PV2sGtr6w4p0e2tANRUkrSo9//9mZmWGdzao1ZG5zaSimnsHNoNcx2TRITUmjE6M6dO3fu3MlJQZybxCul498J7FUxQxIirly58rLLLuMqarxx/iQnsh+DQzORSDwWhGG4fv36k08+ecuWLaVSiTNxc7lcOp1euXJlJpNZvXr1GWecsWnTpuXLlzc1NSWTSdd1udQBD9m8QT4hZt4V/3duLnpbphEr3E9Q2HCzpjSGe4JRIkeD9bJlHDs4B7Pa2d6x6YR64n8QBBs2bHjf+97X39/f0dEB9UOY7P7zUOG67tatW3/yk5+sXr167dq1AMCuEdO+NJFIFAqFRx999Fe/+lW1WvU8z+Qnve4AHLfFPJhx4OY73vEOTmwiIlMxDazQmf/wnaCBJCJookihQCgVBw4cdJTSQU1oJSSSkDVUpAWRkOgMt1qdBHyrCwAQBIIEEgChcKQjXQoAQt9DzEiRJirWal4KIAqlogbppD0hldIqUKFSoLVALfmuQwCQIToAIcctAHFRSwkaNXgaSPuOF7W5qe7+oe4XX1p4yWWgNYIeK1TGYhBCRFHU3d3N5mJqddxZBSaTyWQyGc+JnF27wQKdy0M9/vjjfX19phgAHywf7/iDFJtcrsmYSqXWr19/xhlnAIBpJs1jAY9TM+1g4q8w1juRSJRKpWw2e/LJJ69duzYIgubm5oULF55yyimLFi1as2bNqaeemkwmuXwkb4EnIZyfyj9yBQg+IfFFAxskc+JghfsJCltDzowx1WC4tuOkthNPhcR627k5EjQZh9db2ZcTBIGp1eX7/nve855nn322o6ODEz09z+MufaNixowR6wxRFDU1NfX29v7617+++OKLFy9ezFaV62OanNf9+/c/9thjO3bsYB3PXnl2BSWTSQ6bGWv/+VsAgGcCixYtes973pNOp7momanHXKvVZjrjynLMICJEARRpigAgqtaKA0MZwqBaSznacSRxGpuKiFwHBcDke8cgAGgkASBw+GeBUpRq1YSCrOdKpYNingQ0eZ4rNAh0lPIi361p0pGDKD2sREGIqEEioiAhFKAGoVG4AgAAlUZAAE0gUCMBBAqqtWwm3esHO17esvCtF0FQCwVKJznNZ/D4gmfmYRj29/ebmOapCXeOSOE0G7OpmdjniWC8G6ytq9Xq5s2b2c0c32f+5DiDlCmSq7WOoqixsXHZsmWLFi3iBVVzgDxOHYNegSYshxdmHcfhCMnrrrtOStnS0rJy5colS5asWbOGC+nw9cV62pjx1ptyZCa6acTFiv9oPe7HPVa4n6A4jsNltlpaWjZv3szeiClsh/0f7Bdpa2s7Zkk/UyCZTAIAt/Awb7JSv/3223fs2PH8889zq2rjCx9nRDQ+KqiPgvl8Xkq5ffv2e+65Z+PGjVz2IZ1O9/f3t7S08CLvb3/725/+9KccsTOi7uQ4qh1itphj2bPZ7Ic+9KG3ve1tra2tfO3Y9WKq2VjmF0ePtSynnLIDSQBBCapCeaj46hNB10ttSjcktKCoqiAicMHLap2MIFI113HZhU4ctVJ/wQgCAI0ASBoABIAbeQIglBCJ4WrumZAyoYKq4o0QhBECJREBQgi9yrCHPgKIHEngAgAQoEx4dOSsQQAJSKqqEpoAIhSBgEBIQeBokcqlSDuiWFmczvQO9Bx47MFl77nerRUh0xaCQ5iQGmUAoAAcgJTmICAJgCQJBAFqhHrT15mF2+hwewpWhMcsDtDcFSwxHccplUrc9XPbtm381HNTiMlW8pVS+r6/YMGClStXVioVIkqn07Not1lnc10vDvl74okn4ubXiPXxXUtmsZRzN1Op1E033cSryvGIID7SY1b9DOvN8gCAc2TXrVt38sknj1Db7NwxIwuLfvMB41wf9faLb2oOxqlOFhYVfNubvF44JtIinuPL38s7w943c4MZt91M78+ozPsLbJkatVotk8mwLdi/f//evXu5J8Vkt2O8IFhvyzr9+zqT+L7f2tq6evXqd77zna2trel0mj068bXjiRgLXoHlpKLHH3/8Zz/7WTqdLpfLYRi2trZGUZTP5zs7O//zP/+zUqmMqB4zwVIJSqlcLsfLBVdcccU555yzYMGCKR+4ZV6ADotTAgAoDBUH8xLQFRJJC2IhDsgKG4d95+Nub+RvCbVCze2RlNAKtRaH/1P19zVqhZqOrDY5kSGLEHiUwfqn+VkKQ59ICQESkKIw398Hfb0jZTjysWkVRea74hPm4xg2QQBgaklx7Af3gnjooYcKhYJpmjGFE8Ke3VQqtWLFimQyyYmPsxjiyCKV/eVRFO3YsaO/v38K2zEnjV9zqYBjkIQ6WUYdU+amw2tWcByHO5yY2QsPxHRMGDFnmIMToTm3Q5Zjg8llUUrt37+/q6trajUE2f/Ewj2Tycy7jpX8fC5atOiGG25429veNuIRjQcCjb8dEz3pOM6+ffvuvvvurVu38sIoAPDy6He/+92tW7dWq9V4q7zX3Ww8Jofbgi5atOhd73rXGWecEV/8tRyfeEDETU11satnsKvL0eCikDQsa83lJwDNzvWjFHYc83m+0bndEv+hQlACFMb+E8D5phqHP2m+a1KWYsSHkXQURQRKIiAoUkF/16GBPa+BDrVSQHr42RDsY0dVF5SHHxkkMelo/mnjGMwcTNih8fbx2iCX3P35z38+MDBgsu0nXssLY7iu29bWtnz5chPOMevGhI9XCPHCCy8MDAxMzQ3EOQAcWPiWt7xlzno3zBAczyu1MFx9gT3cpqc4xRzhM4eoA/WQqjm4iG2F+3HOWHNKjgYhoq6urtdee41XWqdmO4yszOVypqTX9B7FzJFMJguFguM4q1evft/73rd48WIAiMeIT9Cwcsy67/vVajWVSr300kv/7//9vzAMM5lMT09PNpvdtWvXt771LW7Wbc6Yke9HSwHzvfHX+Xy+qanpsssuO//881tbW7kpibE45m+PgbCwTAvj3APDbwqIKAIkiMLB7p58T59D5GgtCaTmajDDfndW3gYd0+78AUH1Rd7Y9xBqQq1Ra9T8mv3r7IM/+reTlew6tku8RCB4jQ4JtUaIJEUJ0NXB3u49u6GUxygCTUQqIgAEcAFcFI4EAD38zbq+bqDxdZYXpg3zcE1wvn00k/X5GQ+IebS11tVqFRFfeuml559/nuO/TVL7RA4hbk8cx0mlUmvWrOFSWm/E/k8L5sRy5P0rr7wSRRGvA0wKPjSqB1ds3LgxlUqNH4U4K4wYUzAm4kdlNvd1NuDq9exx53fMPHZGCcOQq3MyQRCEYTiFSISZxgr3ExSev7qu++yzzz7//PMAEK//PXHMoAIA7e3tJo58Wnd2BjFB+Y7jXH755TfeeCPHeo5aKXkcA8qOAUTkYu1BENxzzz0PPvigqWL2f//v/92/f3+lUuGM1bhiG4e44U6lUlEUnXXWWbfeeuvKlSvH2iWr2ucXcblmuqiYFyECYQQ6hFKh3NsXFUtJAgyV0MPF10X9aisEPfJm0IAsczWr9vqvNT+fSMD+dEAthnXwyP8QtAANqHEyQjkWusNyW8Dw+gB70slxBFAoKRIUpATJoJw/1AGdBxDARRASiCjkWYIEEqhi8wWO0cfDCv5YM47gnsav4Hwbrutq9ESxWLzrrrsOHTpkPsPZihPcrLEnSqnGxsZNmzZxY6MwDGfXaBsrxzOW3bt3w1RNmfGVZrPZdevWcYrCtO7sNHC0HD8xBfpYsAHkUTWKojAMTVXQGYVDdHh1y3EcKeWITIM5wjwLbLBMlrFsH6dgFgqFhx9+eNu2bVypQEo5hQ5K/IB5nrd8+fJMJsM5Rm94x48RYRg2NDTwVDuVSr3//e9/9NFHN2/eLOt9quNxnzh2AQetNdd18X2fF3l7e3u/8pWvbNq0ae3atXfeeedPfvITRDTZLWY7o24Qj1xFhXpM6oIFC6644ooLLriA++3xv6NqdzsGzH3i9wDFat7Ff6scciVBrVLu6an09SZCnQQpVSTZy84BMwQaBKJW4ghv+qgcjjUfdsNT/E8w9j9+TfX2TACHtfioGwQY5bfml+KI79XScaIgEihRh0l0sgjRYO9gx+7mN58HbsJFVAJUBOxpj4BQYmxjmgAEIYA+BtmpE1lwe10mq0E5p4UVObdy45rr//Iv/3L33XezrTabfd3qKEfbE27huWnTJiIynURn125wWqoQoq+vb8+ePfB6+fpjQfW0q8WLF69ZswYA5mCoA4zhc7F2m2GHNwBIKVOplDktMz0HG1GxZ252pAEr3E9YELFUKv3iF794+OGHoyji7tAT6Uh3NHxzZzKZlStX5nI59hLNxD7PBNyGgx9U3/fXr1//h3/4h+Vy+dVXXzXBo2YNd3yrynGinF+ltU4mk4888si999571VVX3XHHHbzoxgvTkyp1bwbdRCJxzTXXXHnlldlslmvUmAEpvpQ/1TNhmQXibtqjPXBEBBBJoVW5NHDgYNA7kNQqCSg0DaelEiCBAG57BArAoTFDWUa42xnxukI//ppGcXEfLdaP/i1y3Es9lRYAtI6UiryE50SBUJh1vUIpX+joaMwPCSHRTaAgjaRAIEBE2gEkICIQGkgYET8LHnczxZrpb2EXIPsUpJSHDh167rnn7rjjju7ubn7w2YxMrYBvLpc7++yzV69ebZpJz65q5FkKz0D27dt38OBB13Une2gAwz28+cXSpUsXLlwI9Xpic4pRT7VV7QauEuH7frlcZidjFEVElM1mZ/R7zcSA7yIWM3NQz8y5HbIcG4hoz549d95550svvcRucpNJPdntAAAiplIpzt+v1WrzyHOQSqW4z6jrujwQ3nLLLZs3b961axdNskZyKpUql8tcq6FarbLu/+lPf/rSSy899dRTvOgWhmE2m+VCnOMz4gQ2NjY2NDRcc801p59+Ok8MpJQmXN4yr6FY++ERIEQIoa6UKj09qlBIK0oKdIgAtEYAEIKAU1E1AiBIMlpWUN1xHruD36jS5Zj115X7YyCQNLvclVJaR64UEIYyCNKurNX8oK/bHxpMJRKQSglMgZAggQQgCQIdn0QgAQg9e+mpM07csyilLJfL99133xe/+MVKpZJKpXglkFNcOKR7gk53Q1tb28aNGxsbGzl0nps3z2L1FW6WxAatt7e3WCym02kimqwjiVdK+WCbm5uTySQ7pOZgT0DLOIRh2NfXt23btlwuVyqVuJUh92CZ0e/lGawJfCWihoaGRx55ZEa/dApY4T47xLNS2OuWzWZZ8vINOpGNvK4+5k0ZvwUnUAJAqVTq7u7+0pe+9Mgjj6RSKd/32ek+jvXHI6uWmlhJs5i7YcOGNWvWFIvFhoaG+eX3NfVZTdmpL3zhCy+//PK+ffs6OzsBgH0/fPbGOUUsx7XWtVqNT7vjOE8++eQTTzwBADwCIWK5XB7n/PB59jzP9/1MJsO13hFxaGjoi1/84jXXXMP7mUwm2YQZ91J8Qd+q+XlB/GLFo2X4PuQoTwEBgMp3Hhra15GJVFY4UaXk1V3sw5AQoDUIqCekavPP8DfFA1qOKMeCsRzW+E2JscprAhHrRU4iBXCUfDcbP9r7rhHM4kAcEugmnIpfkUI4QkeB3yCx1tvbuXPHmqZG0IrAd9w0aVAKhBQChACNSCQAEYe/aOziOdOI1rqpqWlwcJBDw6e2LAlHPpVHL5HFg+JMj2ff9wcHB5955pn77rvvoYceKpVKbFjMMDERaZtMJtkipVIpLgOfTqdPOeWUyy+/HOqKmcP8ZlG7mzYUtVptx44dyWSyXC67rjvZU21KoddqtbPOOiuKIpMnwB+wtnFeQERDQ0N/93d/x8bQhK3OdNTTWLfHiJ6Msz4PtMJ9ljF3ZLlcNr4TXhsa9fNHh1yPkNQjtuz7PoeIlctl04huYGDgH//xHx999NF8Ps/BGyzBp3A7cpnhTCazbt26pqYmXsmaR8aRfTxYT7GVUmYyGUT86Ec/+td//dfpdJrdWgDQ3Nw8ODg4qY3HU9bGD2qP/wki8lXjjqqtra19fX3vfve7N23aZBpfw5FSb1J7ZZlHuDqAUlkNDshyORmohNIuIqImGK7YGGe4DA2Mo2gF1MX08F0YaqO2dUx518dLIEUERAAaFBKAN15TXqQxI2eGVT4CEGgUgrRCwZ+VpD0dAQpJVOvvh1IRQh8d1FoBSj381wpgeLJCdCxC2xnOWqlUKrxiznmc5XI5/iTGGevpPlq1m/A84wQBAA6MUUr19fXt27fvlVde2bp16+bNm7dv38793SbyXXEcx6nVamzkS6USH4Xneddcc01zczPUs/OjKEokErMYC27Oj+M4g4ODR+cXTRyzUtrc3BzPBLDMIzigFExxrTojWqBMO/NlMLXCfZYxyRDsdOdiWDh2N+axIq2PfpO3mU6nOSPbcZy2tjat9c9//vPvfOc7v/rVrwqFAsRy8Cey3joqWutcLseFtxCROwTNlweAHVfxpnpciOqGG254+OGHv/vd77a2tvb397OMntRmoR5wGRfurzuEmHYqnJ2WTCZLpVJ7e/tHPvKR008/nSskmJUBGMONZ5l3jDX9RhWpvt5qdw/ky67vJ4EcLqdSr7AOHEFinO7D8IuYNx0BSdRfHHaEJ5wEsP+eSBNx8RZCICIBKBClgwIR6sq7iDTCd370j0dq98PVbHg/FWoCiufRSs2HrSXCwKGDwUCft3iRgzISEUqJXD8SBIAGjfxsAGnkKjUzfMuzSeQMuc7Ozpdffpkf6njF2DhjPeAcoctOGXYDK6X4nSiKarVapVIpFAr5fD6fz1cqlQMHDhw6dKijo2NwcJBXYj3PYz/0RHY7nl1nXrCVq9Vql1566bXXXstVqrg1xDFrSznODrMyc1334MGDNLGk21G3w35ZpdSSJUt4pWh+1UuwQKyqTNzjbnxVFns3zzLcKoIFWRAEnEefSCTkxCp8mbvZRGJwLHVc1fGoUywWt2zZ8swzz/zkJz+5//77450FeAs8kEx2/7kQzZIlS0466STjvJmDnerGwkQl8YID1aONs9nsJz7xiYcffnhwcJAH6Wq1OsGk0vgyyAQd7Qauz+O6bqVS4SlEoVD46Ec/ev7557e0tFCsDwXXgrBh7scT8QiK4ZtHhdW+3nJ3t1OppCLtSi1R+BCGkrNSuaTjWIgjtLspFIOAJFj016oRImoEEKgBgB8HgWEYCgAhUAFIBCRAbouUev2bLa7dKZaTKohnGgJAEwg6HMCDkjRoIQD8vp7aQJ9XqwgvhaAAtCCMgBCJtDk5iLG4oBmF7arWemho6O67737kkUe01hxzMurnx3rM2XSY2nas3TkNht/0fZ9d+5VKhaWnCXFkW81/ZbJuxnIEjJjJsz3hTbW0tPT09DQ1NX3kIx9ZtmwZu/a5VDYPBKaOzbHHJJUS0YEDB0yz2Mluh00iuz8WLlzI5nHWAxssU2CEUjf+rFnZmbl2C1nhPsuwTGQXDqd4siwby9nABXcNZo11hMHl4YH9Or29vQcPHty8efP999//3HPPDQ0NCSHYmscba09tLsv1gE899dSVK1eywJ0t0z814rGPnNhkTsUZZ5zxuc997s/+7M/a2tr6+vqklFyCfYJbnqCL/WhMBn06nR4cHLzooos+/vGPc81KXkCMtzm0sZvHB3GP+xFjVbVW7emNBgbSkUoRORpIaIUQCVAISOBqgXVJazoxxRDDXVTZ3V53ex8W8V5C87cLJAE8bSUEkA4AEiIgggatNAkirQGOsEuHi0vy1mLv17W7BgShhRgu4A6AmkAoZBcvSY0AgCS4Ho6olqv9fblSERoaJWkCrUGS1iBlPCOWUBEiryHMKLwiylfk5Zdf3rx5M6vqiYTETIR4wBvbc/YNG9V+9I0xEZNijAOL8jAMPc/jJL+bb7752muvhSOjEeZIwURErFarPT09b9C3yhOS5ubmOVvOzzJBRtwGMy2g58swaoX7LMP5jlrrbDY7NDS0aNEi9vGMtRTreZ4R61Cvoc5mjlt88ZLr0NBQPp+vVqtbt27dsmXLzp07e3t7+/v7Od6RVxLN3ICF4NQMZRRFy5cvv+CCCxYsWMCO9nhe/7yAlxpGFHBNJBK1Wu0P//AP77333kceeYRDXSe+zSmPOpx1GgRBJpMZGhoCgE984hMrV67k68szLv5kPGDGMh8Z9SYZmbaYHyp294RDxVbAJEihAyXACHdJoAmEHpmceuTXHCFcCERMZAtoyABRSDrQKtIq0lGktXkcHBQCQDrCcRzJ4jwaJVQDYy/Gue+Hi0KC0Kg1Cvams/ufI2AQIKlVsa+raaAv0b5IJEgBIGk4nAhrYoPEcOD9DMNG0mhcAOCZ86SswdGYq8yRKkevdpoFQKjrbxPQwoxz88TtGEthAHAcp1KpnHfeeZ/61KdSqZRSiocYUy0bZtXnYoaMfD4/fvr++PApiqKosbExm83ypMvGycw7js7ePjbMl1Ace0PPMpyASES9vb3f+c53li5d6vs+ZxSN81ds68M6nHgUBEG5XC4Wi4VCoVAoFIvFWq0WBAEnRHOZAv5zduhyLqwJDpma0z2dTm/atOmtb31rJpPhJFceY+aX3x2O9GyZQPPm5ubPfOYzu3fvLpVKvu9Poa7w0V/BjHWqHcfhyg8AIKV897vffemllwZBkEwmzVnlqxb3u1vmCxO8ZMa3GvX157t7VLmcQEwgkIoUaCWA5TvowxZcjFZkffSNs/olAQCdfpk4UEEieoJQgkAQCFKCpiBSoLWOIow0ESHAQpO9OoapMNp92OnO/0ON9fLxBEA4/NcaAQkkANe1BBBJiYW+vqH+noVRAFqBUACOIBajh/36hAJIwczf/LwQxzEq5vHnjNKxPj/q+1xmzmCMrVnz5Mg3E+XI4wK79o2sN5XOJ7jnUPfscE7qaaed9sd//McbN27kYovmA6aK0Sw6p81uDA4OmuPFyVTjZdhI8jpwMpmUUnJ1rxnZacuMMaozMT4jnSHGut/mmqC3N/Tsk0qlKpVKV1fXv//7vxNRqVRqaGgYa0nI6Gw2aroOFynjqoUUKwudTCZ5SDCOcDMC8ajAr/kDUyhztnDhwg0bNpx88skAwO78+SjZzYjFIzTX/eW83iuvvPLWW2/9h3/4Bw6YmcLGJ/V5jp1tbW3t6elZt27dF7/4xcbGRtOKhT8TX+O2wn3eMSntXikUK4U8BqEjPQGolCYiEMMlZRBHBMbAiLj2sRmu8l4m7XhuKp3ONeYyTblsQ4OXSYPngdYQBNVSuVQsVgulaqns12pRGEE4OU/ziNRVMez+r5eyYXE/rOkFEjhAQ8VCqVBcEAYImogAj3yITJQPymPgcaejynaxBB9LQI81wI9wxIyIROcX7I5hy8/CJQzD+CcnotpH3FpSSu5QkUwm3/ve937gAx/gsG82dGa2AHXX++wGliBiPPt2CsKd6i3wstksx//MtehkyxvBXk3GCvfZwdgjXspkS8plXgCgUCiMZUDHGvJNY4IRs1IunxRvsGfUebyXwUSGBK6+EgQBe0dY4J5++um33HIL51clk8lKpcKNM+aRoIyfahPrGR/M/vRP//S111675557TIlGNh/JZNL3fY4QHcsZP04srPkVl5kzDbCSyWRfX18ikfjIRz6ydu1a3/dzuRzXJ4a6Y4xPrw3fnF8QkUJwNFdeBBSgheYHT4DUIUgUSoPAULhaqGJQGHCeempZuVB0owGMwqSUKgVR4GrK+QqANyQABZBAQlfLEqYQCDAkCAB9IbRAJTS54FHkEqUqMjOAXp+b8JuaZHPzwg1vyWQyuZamdEPWSSbQkaFADeS6ro6UE6nGSGX9oJQvDPb2F4vFl17dDIVyqlhaqHQLhYmwGvmFgGoyKZQgQkAQjkggOGGoAj9KJlwAiBCi4aFGA4DUIDWwUoe6Dmef/MpSxZEieG0HvvUskM1CulFVpRIZCLRCrSShIIHIoTXAyn+GTQ0/2uZpnZYWMEebhbFieV83JMYkKfGP8SocAJBMJguFwuLFiz/xiU98/OMfR0R2DJklHWNDZjfMnZ1QPA6awYiHm0lth7fA2p07kyQSifk1HllgDEEy19zes4gV7nOUsWaWs2WAkskkl4FPp9PlcllrvXDhwkQicfPNN69evZrd+VAPwpmVPZxeeMmV5yrZbPayyy575ZVXtm/fboa6+NL5FC6KmV9xZQmzisJjleM4f/AHf3DppZciYi6XG7F9OwjNXw7PtI68hpq0EAIIEEFrLaIAgIb6B9Rgv+/7DgpHIGhSUSiUFt6YIRNCAIJG0giIJAFQAyokcLwApK+wKjHMptuXrmpff3L76jXQtgASCUgkwHM4cRWAQGtwHEEEmgAFAKZC1V6rge/DKSsPbX+186UtQ91dURg1SPIySVd6QVhB0EIREhBEBFoAup4EGFd4HZnTqhG01lroMKhFlYoTKZBg3Or1WJnhgpV4PJiZSWMS6OFIHeN5HrtUIFahRUpZKBSWLVv20Y9+9EMf+lBjY6NSqqGhoVAoNDQ0zNYhjIqpRxwfQabgXo2vSB+DyAqLZVawwn2OMtlYq5l2vnKYda1WK5fLTU1NQ0NDlUrl9ttvv/TSS6WUXK+APcfHja3kNABuyXT99dfv3Lmzo6ODV3Ljka8wpXrDcFTIO2+TB92VK1fedtttZ5xxRrlc5uj24+asnsggIo2Vvam1EEIpEBJUFIGKQOjufftk/wCFgSfQlagjpaPIBRCAOl5ykR3vSBoQRSS0cogcBCShNPpCBFKWFNWkwFwut2zVkrUn51ashUWLoSEHqQxIAdJEsGAENNynSZMAcpBQSHAlJByIUpDCJQ3ZBcuWFPd39L+2s/vgHqcW5BzpKCepySMtNCmlFCpyHOlIVMN7OA5xFc6iNKjWioMDTUsD4YHgzFs+gQT13NrDp3RKl2K+MiJ6xJh9x3E4XN68k0wmGxoali9fftNNN916663Lli2jetVg0z1q7pw9s+TIKVvGqTHlrXEO8bTuo8UyV7DC/Thhpv3cvPJosjYdx9m4ceMHPvCBXC7HVVCSySTUO1fPYj3g6YLbdnDNByHE8uXLr7jiimefffbpp5/mqBXTaBbHrt05DiO0uJnwKKXa29uvu+660047zVR+5KB2sz4Oc2nEtUyKuJ+YEDWI4fqNBICglJZSOBIh1OAHvR372v2aJJJCgBZAStAYCZmogQQhEQSkIwnCIwkAOqLQwarj5ZNSti1oXvumJRtO9VadBA2tEFEQhEJKlAKEIASFEgTXhWfnNhFQBCAJQA/XcSQit32Bs2RR8/q1zftWdWzZ3PnK1nzXoTbhChUmwU0AKQxrOlJaA7qm9dIEtTsJRFJhrZbv6W8OFQC4QgLQ8FIF6pFLFScYJgYG6y072AHPMfSJRMJxHI7fy2azy5cv//znP3/55Ze3t7cXi0XumcqWfG5Gj5juVPzjGxHu8Tgii+U4wwr3WWa+WBYOlUkkEslkcmho6Oyzz/6rv/qrNWvWsJM4l8tx5r4pQjzfhTvWW8Ca5N0zzzzzPe95z969ew8dOsQjClfVFEJMIezV9HIyAwz7mRKJxNlnn33bbbe1tLSUy2Uu/sD1f+bgQGuZPHo4Xgbr1Vf45+EEBqUJJXsK+/pLPd0rXAmRAq1AK0kgpBBIqA8bDYJhXcwah7AGSEASCMIQKlpXZKqSzDa9aW32zW9asP4UZ8FiLZOhJpFMeI1NkZZCSsBhRUwAvCYQgUJACVIAEgJKItDkSKd9oQoDrWtuYwNs3LCsvRGas4Nbtpb27HdD8FTkcio8qgC1otCDYTswotD70QzXugGSCBQGhf4+CnzUCmUCiDQN93pF/uzwp0+4JyKeHGXsBsf1cRQNLwmuWbPmPe95zzve8Y4LLriA/6ShoYFbyEkp8/l8Y2PjqBufRSNjvOxvfEw01XumY78sljmHFe7zjLEM60wbqTAMU6lUEAT5fH7VqlXvf//73/72t5u6hDxmcCFLqPvdjxuklNVqddGiRTfccMOTTz75yCOP9Pb28qpCfG16UoxY2mYR7zjOqlWrLr/88jPOOMNkaxkHG/+hle/zmvpVPBzoAnUvtxruvBZK1BAFPXv36HwhJaXSRCoCIIlCSimo3qA+1uSIUBBqJCFkhBqUwhpQjaAkPd3Y4i5ZtOKst8qVK5yly5WbLAcqVJhwPBBuVA20C8KRGkADKSANw2mLiBwxjyzphRACSCGEnvAjIh2kEk5yybKlQi5sW/xq8GvV3VsayCOplCNJCCSNpADkiMN/Pde7lhJlpCv9A1CtQagggYB4uAWr2cAJ+SCYBTeOezFmP5lMsmRfvHjxBRdccPXVV1988cUnnXQSANRqtTAMXdflwu00Rl3z2ZW58VjBN7InRv1zoxLe5vTtpsUyJ7DC3TIhlFIcbL148eKPf/zj73rXu8Iw5G5B7F9nK8mhisdHcKHneVxn03jH16xZc8sttwwMDPzud7/jIzWlYCaLKfpmqnCmUqmmpqZrr7328ssvZ38/r2ubNNnpPTrL7ELDITIoDudmkuvJMPABAiiXDu541a1WUEUOKiGF1BpJSxTExUCQXezDd4VGEASEWqAGgRGiAllxvCjXlDtpXfbkU5Jr11NjYyCTASTQcxIgdaTy5VojegIdCYIQNIHE4bmF5iQ/AgmAAEhIBEhYCkLHc4UjFQQ+RMJxvTZwZHLluaXyKzsKr26nYkEJJQFJEY5WrtHI7VHVmaZIgieiqDJQgEoNajXwMgRI9RgjPKrE5ImGKXHNYtdxHNd1y+Xy8uXLzzrrrEsvvfTSSy9985vfDAA9PT2ZTCaTyXA3Dw5t5+ZuI7Y5685p7nXKxtbsz9REPJ8Z02eaJwPTv8cWy+xhhfs8Y7YsLDfybG1t/cM//MPbbrtt2bJlHB9iqhlwtWAAqFaryWRyvttKPiKOlkFEz/OGhoZyudxVV131yCOP/P73v+c+tabCw2QxDQuNIk+n021tbddee+2pp57KgZ5cSH7KTn3LnIVGeziIyJEiUiFoHyrl4sH9qSDUftVxHE9IAYQatI6GHeAkjATmUu78rxtRiBhJUfO8kpt1Fi5Kr1uXPe0MyDVjqgGEE0Vaa3JddB3XcVw3AhD1ABSuVSIQEQUg1n+Dww2bABAcdAUAgtAEAiWAJhcwqxvPOJsi1TfUV1U+aT8dOa5SqGD0Zq4AYIJnjjwVkdYIJJXS1SrUQggiUJESQMIBAEms2pH3ieCEC3hnsW60u+M4mUwmnU5fd911F1100aWXXrps2TLP8zhyZsGCBZzuyZqYxbHnedVqNZVKzfahHIEpg2Ns3RsZQUyHk+nZOYtljmGFuwWEECxP2cpzTiQbPkTkcjHlcnndunXvfe97b7311iVLlnCnJ/7zEYExc21ImDKs3aE+WeKo0Gw2+0d/9Ec7dux46qmnoijK5XJcdH8Kg0Q2my2VShzTmUgkpJSf/vSn3/rWt9ZqNSEElx+e3eLKlmnHhGkP/0igSSMBaHJcJwxqiYQHg4OlAx39+/aubWxyBAqtFCkgjQRy7Ko0hAAgPPSqYeSnnR6tsTl32qWXeBvPUJGUMhmFEshJIZAErYcVs+boeIGIIKTA4TcB2JlvdnU4Eh8EgFAAAA46SFJApFUknIzGWtNZZ5IDOx79TWFgQERRUKq1ptL+67nHYwE//NWKVJhKpKuR7t6zd9GSVaA0OkIRCSREjB//WJm600tjY2OhUDAxgdzX07iEsd6eid9JJBLGNhqFPQXjwM5mNsX8jZwAw+ExURSlUqnm5uZTTjnlwgsvPO+88zZs2JBOp7nrkFkG5CgRU76Wq37BaCZ61v0svLqIiNls1nR1nYLHnW2m1pobmJiGtdb3MV8wicVSSnYO8kMXjymdaTiUYETZCd4N/hU/j7M4M7TC/cSFC5WwQPf9ww0RjWRnu8lFY0499dRbbrnl1ltvXblyZRAE8Yors3gIx54wDDnEf/fu3aVSicvpxM/eBEHEarXqOA6P9L7v33jjjeeffz5fFFNDxnKcQXXvNRIIrttCAkCDQKLIlQKqJVBR/sC+HFDCr0iIgD3fJERMwyCJwy1SD3u1taqB8NL5gGBx26IzThcrl0MyBTKtIAUkRAiIQBKUAC1AH04JPWI+MLxjZp9jAl4A8PwBNEhCIgmY0BJkcxsEhfRJa5eWh/qee6F88NDCVKPQNCzzxyVeI5NQCyA3UolIUcWHSAE3GMK6h567PKHg8zepkz8FOGiNiEwVKYgFckCs8iA/s5VKRUrJJba4siGMJotfV4+yXeVIOc/zWLJXq9X29va1a9euW7fu3HPPPffcc9m/nsvlqtUqe1jifz4iPWaOw/tsfEYw1eVldoVUq1Xf9/mczHogkGWymHvArOQfG6HMt5+Ze/MSECJGUcTvmBezW7bICvcTGpO7w84kKaXv+/yEcCxHOp1ubW3N5XJf+MIX3vrWt65cuTIMwzAMOUpyDi65zjRa64aGhhtuuOGZZ5654447arUad4qd7Hao3u9QSlkul9evX3/zzTevX7/epArMl+HWMikUAMJw4DjUBSshgFYEhEi6VhHlYufu3Q2ovaAqWHsRHi5HAwB0xGxZkNCoAUAjBMolma4Jyq1as+Lc82Dh0jLJZCJLoRAhgAJg8S0gIiBBdfE/3NzocIujw1HlI0AUgBFIRRABCiDHJYmRkL6qZZavWC6xfKC73NkHnqPKVXIUTCCgxcwcEBFBi0jLUIf5AtR8IKWRNGgBSMSlZQiICEkDzrTbgCUg20kOmzYjejyWOv7MEhFHuMXzWOKuu3jxlrFMR/zzyWTy9NNPv/LKK8866yzHcTZt2tTa2lqtVpVSuVxOa10sFnk90Hyp2Zm4GZnLJoXPCRHx+q0ebmswlfQhLhtQKpXK5XIqlbLCfT7CcaosTuJ+sZlegjaL53wXeZ7Hs/GGhgZO8p4j95IV7scJkzXKXMqQ1blBStnY2DgwMCCEWLRoEQdyXH755Z/97GfXrVvnuq7v+77v8/ojHEdRMRPH87xKpZLJZD72sY/99re/3b59+xTc7Uw6nS4WixyB+slPfnLjxo1xX/tcHmUtU+ZwmRWql2sB0ABE2nEcqJWFjiqHDhW6Dy4AndJ62JtOAgABNZHAumpHEgK0Gr5Nhv3voZsro5dZtGD5hk2wZLmWqWpNCwApABEEDBdoQWTNq4kUImJduMOwfAc8anwaFtYCBNXD3gUACERA4VZ0EKKTTiRw4dIFbz65p3Ow2jNAggTUDv/tuGdmuBilIKEAVeRGqjJYAD8EpQGAQOjD8n74DNDMB7mzmuSkSY4bjKKIS0JBfdFyxDTbeNmTySRHlptObRBT6uMrAMdxoihih5/v+/39/alU6uyzz25paalWq6VSKZPJcNolIrJqN5MKnirAvPK4swsDANLpNI8vUxPufL0Q0ff9fD7f1tYGx0VfkRMNRFy/fv173vOet73tbc3NzRxJpZSqVqsz+r1845kZON9Ir7zyype+9KXBwcF4JMLs1hu1wn2OMpa1ncZ7xbiOeBWYVxgHBgaampqiKBocHDz//PM/8YlPXHHFFdlsln3wHNoBANVqlYjS6fR07cxcY5zzz1Eup5xyyh/90R/97d/+bW9vL4+yk9o+B7/y9Oniiy++5ZZbMpmMsQvTcQSWuYg2Ed0EAIAIGoEQNGoAUqEvNXV17BG1WlLrJGgFGkkAagChyTiYjaNZIAGAZv0qCPJetuQ6y958SnbtBlBORSsUXkQkCEgASSAkFAioEbQDGkdIXzrqBR7xf4EREKAQ4EjQApC3CQAJN4EBBAmRaFl3iugtHhp6puqp1smYKwQAgUKDo8BVUMvnIQihPreRbP1ouDrlsUlMTaVSlUqFiGq1WiqVymazxWLRBHWYiBRW51prXtlnK80hcFTvWAcTVu1QjxvhOBnf97ds2fKVr3zl0Ucf/exnP3vqqac2Njay/48jbqMoSiaTJpg7Pkkwr+e4VTEyKJvN8jxkajvMh8x/29/fv27dOpgDNXMsk8X3fV5ouuyyy3gRplQqRVE0av+BaYQnkObB4WSJIAhSqdTQ0BDMmXvJCvfjhMmaOdPngt02Jv+poaEBADZs2PCud73r3e9+98knnwwAXPPRFEZERJ4Bc8nCmTicOUu5XM5ms+wDe//73/8v//Iv/f39U3iYEbFUKmWz2Wq1ev3117e2tlYqFVMsYo6PspapQUQKQXD/IBbuAICgUQtHAmjUGqqV3oP7PVIJQW6klAAOkjHOZdNkNI4gYNf7QCLltbc2r30TNLWHtUC5yWQqhSA0F55EQEQUClAJIACtUZpJAJeWAUTQZuf4rfoLBAkBCAHkaK46Q0AAigBRSkiEQQC+SjS3N605qWPHa/3larMe3j04qgjMiLTUw8cihAwhiTJfrkA4HOM+vBtHxggdgyHUOK0dx7niiitOPfXUYrEopUylUqzXfd+vVCrFYrFcLgdBsH//fiLyfX9oaCifz7M7PJfLdXZ2jrrlseC0PN4Uf/uBAwcOHDiwb9++T37yk+9+97sbGxs5f47j6dmej4jYmUdJmWa209DQwG7yKSskFl4AcPDgwTfSasMyi/DSFmeYsIhPp9Pcznymv5ofapMtza2IASAIgvgS0CwGuIMV7ics7JjhsYdTr3K5XHNz88KFC6+66qr3vOc9GzZsMLlWiUTChB4GQcBVaOLZWicO/Kx6nler1ZYsWWJqPkx2OybThYiWL1/u+z5Pioxqt9r9OGM4qyEuN/Vw3AwBEGClWk67Mt/XWx4czAKkJILvs5/dKHU93D8UhjU/gUBSIAA0kiDUlYaGZRvWO4uXAACIRNJNA0hdd+0DAAolUEkAAQoIonrkjDQBLUSHJTse3lMOyHdBA4DCSCMSaNKCA1mIQBMiSBIu6AAWLWo9+c0H+nuhOGK3h+Ej4n+PlO8aESUKEjKq+qA0EG8+Xovn2JWB5KV5IUQ2m+WaWlzRhVWF8Ysbj3t3d3ehUNi3b9/WrVs3b968devWjo6Offv2cZGoEQl249gNLuDI9hYAEokE/7h58+a/+Iu/ePTRRz/zmc+cccYZYRiWSqWGhgZTrTxuN+aRYGVNhoiZTKalpcUcyxRMKystIcS+ffvMQvEM7LJlBuHSSVwoiRvFcJmgo1sQTC/mxuO8FA5z53JM5snFWFdEm5xqOaZwmkUikWhoaGhubl6+fPmpp566fv36t7/97S0tLZlMhsehZDIphOAakZwswm2YarUaInLYzAlFQ0NDqVRKp9OLFy/u6OhgR9GUy0GWy2U2SZwEY9JxwAr345SxzLwGKpUL6VxuaLA/9AOhles5OorABQDgrqij+tpHbiebWXTSmyDXqP3Ibc6R4/maEAgRFQCgRtSmDiSQVnXVHkG9MjwOB+Lo4R0eHpr4R5c0ICAg91glBBr2qSNplfJSUiIM9kNT07L1617euhWKR2rHUfc/9qZGcDRIJBJCB/WSMiM+jAIATZ2ZGSWRSLB67u/v5xh3UysGYv0+pZSu6xLRypUrtdabNm267rrrBgcHX3jhhQceeODZZ5999tlnsV7hcYLavVarAYAp1BtFEVubIAh+9atf9fT03Hzzzdddd117ezvEVlAhVlBvBs/LDGCqD2ezWfYrmeZ0E4ddpDw89ff383mzRXXnHSwzOAxMKeW6LnvcZ9pXaHItjFuTq1Kyp9I8WW+k6tG0YIX77DAiV4lFMBfwhnFviLGcKDxsmCJKpjwZL/eYOMtMJpPL5TKZTGtra2Nj4+LFi1evXn3SSSeddNJJy5Yta2pqMts3xo7qLbJ5TZbHKn59YsKTfr5kU1DtJruFVzPYKvGVOgEnQicO/Mg3adQCQ0EoUGpADRIwAtSgsxkHKoNi+7algwOLkt6QPxDksDXUQIDkAKEgoVEAaMDQFbpaLjVmG0MSxYh0qqFAoITrnLQ2WrJENrdoQhCeINfxQ5kQIQAKAkCphSQQJFkPJ3C41Noo/tpRD0M1a6EVsnImwFBIEARKEYUq0ijRVV6jJICFrrt60/6erQu8VGKwnAqitCerEFVcVQElpXSV8BQ6ShCCQogEKAFBSC6SQA1BAYWTH+poxJWJyE3JBogEaCQJygEAkEQINNN1ZXiV3PM8XhzjtmhmdI/D51ApxYuTURS1tbVdeeWVGzZs2LNnz1133XXPPfd0d3dz9wYpZVNT08DAQPzP+QXbaiNYOQuW4Q5KSqne3t6HHnqoUCiUSqV3vOMda9asqVarmUymr6+vtbXVJM+NcBPCHHYH1Gq1ZDLJR7148eJcLjc0NDTO9GOcIdIc8vbt27XWqVQqXvbn6JF3mo/k9TDR/OwR4/xjc7GMAOD7zfz2aGEwZy/lG4TPD6+ZMFwXiI/32CwiccZIMpnkupCcisaLb/yMH4MpxPhY4T7LpNPpIAjY2bB+/XquV8AzvFE/P44h42ICrusmEolkMsmrq5ykn81mORKmra2ttbU1m82ygm9tbW1ububiMNx9yWpHi2WmieenQr27kQCAMFRhhJq0JkEgcUQQyeHXxENI3e2tgBCF47kNTY1eMgFCxP3R3P1UAurheosAoM1eTIsCcKWjUTgCgEhICYCQTrUtaNdCKg2ICCg1IQlUhCjkWPMCIQSXuEFEQaC1htlza00BU3+dAz+klEuWLMlms62trStXrvz2t7+9bds2jt8dGBhobGzkOHioXwVTFXGs7ZstR1H09NNP9/b2DgwMvO9971u7dm1nZ+fixYuLxSLXQOTlu/ki74yDUwixZMmS+ALCZGF3OyJ2dXXxQnEikZhaZcmZg+O22d3m+z57bVivm5UHk/I0ajfZeVQyyDLtWOE+y3DkVjKZXLp06Wc+85nFixfzwzzWEuFYZa041oKFu1eHw9Mdx+E33TpYr5nFdoGNGs/vZ+5ILRYLACBpRHlYlZgIBwKo1oJqDYgoiATicCPTWA0Z4HhxFvECCUFpAik1kELIpNOJBQswnQIpUAMIhPqoL+uVKOvCffgfpMOqcQoiQNS7JyGiIx0EBUDIOiOVXLR0SZeX8H2Vlh6IMCKtiTQBsUgdLdQF0RSmrFcln1eJNKbgDKcAsce0qampqalp2bJl6XT6q1/9akdHB8fFFQqFUZ3K42h3U+XG87wgCHbt2nXvvfcODg5+7nOf41IzXF2AY7s9z5svaUjmkKMoWr9+vekuMoX911pzPkBHR8fAwEA6nZ6D3qhEIsHuOU4YM/VGoZ74xDdSFEUmqBVtYz5LHSvcZxk23Fym4IorrlixYsX4mTRjGXReUR0R5gj1ojHx9UFT7hfqkZG8GsWfnCPVjiyW45vhZE0izholUIIASuVapepp0KSkAEIE4szUw/5pQvaWE6DURBGCFhgBkZDJxmyqrR0cDxBIoEQBBEIIiNVpl4CI2gh3oEmrdjYnElAB1TcIoLUQUhMp0kIiRgqkyDU3DWQa/MqgFhIcCkJfCyeiAITQY5gZ3ufhIyWiSEE9nDS+fzRGdZ1Zx/hBubE0p5YiYqVSaWxsfN/73ieE+MY3vvHKK69wuLxxpsYN7zhG2NSxZjGnlNq+fXtHR4eU8q//+q9LpZLJgp1fXhhTJj8Igje96U3ZbHZgYIA7h0xqO3zqeMo3NDS0efPmiy++OJ47NEcQQvzgBz/Ytm3bmjVrLrzwQi5byZUHTSX7MAwRkWsu8/gerxdsFfyJjBXuswwnLEdRVC6X2TFgbP2onx8rxmussoymKoKUkr8rHjEG9YhArFctnUeFCCyW+Uh93D2sO0XdgV4rlcJqLSskhlq6cGQupzA/E4AiJEdESIoApBOC1hIzjU1uJg1IAAgoCQQCgESu8RirEMP7cXhnJrP3XMqG/feHuzVpIgJieY2OBKVAK5FKpJpaBnrzkZAaUVNIUhBFhHJ4nSF+fFhv+akBAUQ9dgK0Fnyq5p5MHxWOqGZfO0c8IiKHtjc1Nb3vfe8Lw/Cf//mf9+7d29LSEi8OPUGnCW+TIxuhLubuuOOObDb7//1//193d3dTU1MymcRj0iJ+ujBh30TU2tq6dOnSffv2Tc2LlEgkWO4LIX73u99dddVVU+6RN3NwgaCf/OQnvu+3t7efdtppl1xyyRVXXNHe3s4pucVi0XEcXj/hwsFQj/+Ou+dm8xgss4cV7rMM10c3oWycezSOe2B8j/uI/BuoNzc1f8VfFE9gjVc0U0qdyFmnFsuxQg870QlMNLrUUCxXlF/zhCO0cgj1kX5po9qBV8YQIyAFSAIjjVpgqiGrXA80ARHIwzHT/OciXp4FzcsphkFjvSoj93Q1XkDkbFGJoEkm3FxzWzd0KHAiiBSB5zgUcjz/kTHHeGShFfZbUz3RcP54E1h68krmiBDzRCJRqVRyudwtt9zS1dX19a9/fWBgwJj6CYpsRDTpqibWkVPovvzlL7e1tX3oQx9KJpO+75u2G9N+jDOESfkVQmzcuPGpp55iH9Zk4XKQiOh53gsvvMDZ/3NtJbmvr2/Lli07d+7ki9Xd3X3fffc1Nzeffvrpb3/726+55polS5ZAfbw2oT7xlXMb434iM28M4vEK+8LZylerVaVUrVbjdNVRGWs7HLzOES/xSLhqtVqpVHibHDxnvpTzozkXluMCrWq3WGaYox5hAtSEmgAxrPkqjDxHSEAJKI/+LHJhGSAElEIDRkDkCE2kECCTlq6jgUhIDaBMgAlx+UdCru5ICtg/Dm+o1RcCSEDBiaSARKSAOH4GpAAp0HWyLS1ayAgxAlTogOOSEAQCQJhc23jEi6BhVQJGnRCBEKNHxcxJ0cJrmwDAQYlRFFWr1VKpxCa6UqksXLjw/e9//80335xIJNhWj/C2jHNReFGUXTzJZJI961EUtba2FovFP/3TP33iiSd6e3txSrUUZxEzx+DR8Oyzz+YWV5PdDp8NAOCom46Ojt27d0//7r5hdu7cyQVGWbV3dnb29fUNDg4+9thjf/Znf3b66adfd9113/jGN1577TWeeBSLRQ6kMU43G9d6ImOF+yzDrm4uOcTyPZlMcqbppOCNHF0uKpVKpVIpU2Qm/sBjvQIxa/1ZOwUWywmKNv1TOVtTRREq7QkpCARoJBquN0NHZKmy5CUUGliMQ8TxK54LQiIXZQFBQIqrrB/R82l6EBzdzj9wlIwy3gVSvJTgSC+d0UJGABEgAQiMrfHS6DZnuJTh/NQkJtAxXszOcZxcLsfBD8lkMp/Pv/nNb7799tsvu+yysez5WNvnWEcuI1utVo1rua+vDwCSyeSHP/zh5557zvM8/rpjd+RvDPa1ExHHc65bt45ju6ewHV6REEJUq9V8Pr9r166pee5nlGeeeWb//v2IyMM9lxgeHBw8dOhQsVgcGBh48MEHP/7xj5999tnvfe97v/zlL/f39w8NDVUqFTMZs772Exkr12YHE6zGMpoLhLGdxXrJl0kZ9BGOdv4wy/Gj3TnxNVz2vtt09WPMiOAlvkbWg3L8Y5qSDju/Y+vdWqOmRCKRz+c9xwVNsu5cJwQ60lYLxzPT7yhSAOA4HgtodNwwDDmK3nHkcFQOgimzCPX/JtvC6HBw7XCAet0jXi/k50rXEY4CklKSVlprzKSDKAyjiKusBFFoVvnN8RzZOXU4n14DDXsZtB6ZmjqHMblGJgoR6v3bGxoa2MOSy+UQkcuIrVq1ikP5Oak0k8nEQyOOhoiCIOBKI1AvNvD/t/emQXZd1dn/s/Y+wx27W63WPFu2PER2LNtgAwaDMYRisoFgAgEHTFwOVIWCJB+TFBVSfCBFkpeClBOcEEiIiYEwlJkSYoxfO8R+4Y+RLTzKsjXYGlrq4c7nnL3X/8O69+iqpZalttTqK69fqVRXV7d3n+me8+y1n7WWCFPp4rxnz57PfOYz9913X7VabTQaUg+72Wy2Wi25zCYmJk77UZgTeealc+7CCy8cHR3NU7PycuZycI5znxRda4xpt9txHNfr9f/4j/8oFAqy/iBHQKqozdv9Vs4OM09NTcnv3bdv3z333FOv18UdJI52STWWI5BlWafTkfzau+6664//+I+vuuqqW2655bbbbvv5z3++Z88eSV2T2pHyW9rtdl7ycqHVvhw4+iXTwoxpDsyMXFEU5Syg3xiS/4t6ZbzhGZ6NhYOBz/prp3QL0ADgbscWMgE5ZmbD1ki59q44p8O/7XRPyBkgCoxhIupZZaTMPAzBpdYSeXQ7rLIjynfoiPC/J3hCv5jKHX3df9PA5KceTV7fXWY41tpVq1YVi8Wbb775U5/6VBAEU1NTYRjW6/UoivLSMScO9xWAf/zxx7/xjW+Uy+UtW7ZIXqakNkpsaNGiRad6504B3GvzJ2Gs4eHhK6644qmnnhK1LW/KOkN/R6rj473vdDrj4+NPPfXUxo0bZYYjq9m5iD/dyMSp0+nEcSx9fKy1W7du3bdvXy7oZ6ScHpMDBw789Kc//dnPfvalL31p/fr1V1555dVXX33uuedWKpVFixZJWck8SWChldBRTjkLcTKhKIpylnK4OAxE2uYyV8rYgRnG9+WfHVkHUdJBQZ4NKCBDRMQg7tZ4kXFl+YxzI84pgkhM8kf68bp14Q+7ZvL4vgFx2g5CQ8SAJ+OYne0WoPfUV8g9l/Bd3c/MzDYMwjCEtQvTy35SUK/vo3i4AYRhuHjx4t/+7d9+xzvekWWZNPiM4/jEhelsv+L555//5je/+f3vf1+qQ+b9WXPHyMLMWJU1GYkWR1F03XXXyZKLyFDJwqJeL/DZBumPo4tw37lz5/3334/eojR6BnHMi8AlIllvASAdVDqdzgMPPLBr1y6p9pgbXPvzyI/Ge99oNCYmJp544om77777C1/4wsc+9rGPfOQjBw4cSJKE+xp4L8yTq5xaVLgriqLME9zVpqavwItIYQIRGyKImDAi4j0M2DAM0xESnp0HGwOyHpZhQPCEJIPzeWn2I2J4vXapR4b1Tv7+T8do3wh0hTsfWd/REDXqU2FAhIw4M8TE3hAb9mZmeLFrCgLgwZn3DARBEEURzorwoZSaoV5HzCRJ2u12lmVjY2N/+Id/eO655+apTdzXKfPEkWiulAWLomj37t0//vGPf/SjH8lkoF6vM3OpVPK9ovinYRdfFP0mFpm2XXHFFYsWLcp7CEqsPZ/zHGeo/r1j5j179tx3330TExN50TbJJZufsHSeupbbmZ5++umtW7fKbCqP/b/gGZdE5GKxWC6XrbWHDh16/PHHt2/fnldzlqtrHvZIWQiocFcURZlXHBjStNQQAE+GwTBBGEQ2DGCNBzO6vvZe9ZXD92oj5napxsiwsAEImUMr8WkGZgMisGH0u9j7AnGm9+eUwGAGEYnD3vfySj3D+drUwcB4y46QhcRwWTfcDm/g+zeKYcDG9yLuAIIgCOIjhfvAKhMJFecObOlmLfaJzZs3f+QjH5H6MO12u1gsziFoKmZ3+Vt89lu3bv3a1762bdu2MAzL5XKn05EpQaPRWJhWCtl+KY7carXWrFlz2WWXZVmWZZlssISo5QMvOFpuU56cnNy6deu2bdva7TaATqcjhwI9Q/xphYiazaaUuJFZ2U9/+tPHHntMPDPMnAv347tlpNxcq9VqNBrys0uWLHnd6143MjIip9s5158jd7r3SzmzqHBXFEWZb7jnLmGyADIGAhvGURBHZI1jdmA2dHRSpsSqiWEYxjGYA5iArO+krlZ3SSpB9/47e/4cPwXPcwJye8wR+3PYrG8glW5clqSTE+PgDD4z3oWWiFMLJu6G/mfE3bu1Kw1JXRobhd2I++ArEclVzeW1/JOISqVSlmXvete73vKWt7RarWKxODc1mddSTJKk0+lYa6emph544IGvf/3rtVpNVKyUe4/jeGG6KUSg52UYKpXKm970piiKOp1OPhsR58xx3ER0ZFfRIAjSNN21a9f//M//7N+/X97JrTLzcFnJSouk2Bpjdu7ceffdd+/evRu9wpe5T+b4GyOnTCo+SxYygDVr1oyOjuZNvo7ZhVc5K1HhriiKMk94sAeJpSQX5SwmAWPCQiy1vbnXb6H7U71P9lS7dE1j7z08BcYEMC7LGrV6lqbIHI54crP3nmeo9hf3ZGewRMsPzyvEYA0yIuuZkWVZktSnJtll7BNitgRiEJidJwb1uiyhL++222SKGVJeJgxhj7LVDCDil5CYaN7tTjJHJRfzox/96Cte8YpisZim6dwKWVCvXauMEIbhgQMHfvCDH/zoRz+q1WpisM5riJ3i3XvRdLMarJWJjZRYueaaay666CIAWZZJpR1J7T3OOHkhNRlQwvOTk5Pf//73t23b1mq1uv6rnmn+dO+X9166oxhj6vX6Pffc84tf/KLZbPbPncSefnyLVB5Nz7JMzu+KFSuuvvrqKIqkV0Ce2qvtz18K6AlWFEU5E/Bh74djDyKJqBGRlIDspq7O4g8xAHkY7ibb+cyl7U6WZTgqnsp8rPJwc5PD3BdcB3WLTJq+arOyS8ziDGm3GsSOmUGexLcvDhl64aCvMQbW4KxY+hd7hkhnUdjilqnVasViMUmSLVu2fPzjHz906JBUhDzZ8UX55WKUiKIoarfbjzzyyI9+9KPHHntMpLwYMxZmuUCJgidJIuq81WqtX7/+0ksvlRrn+Zzn+JWLc+GOXn1JAJ1O595775VaLrKgISU158EUnqZpGIatVitJkn379t177727du2SaZtcD93ve2/eMts4uZcdQBAExWJxbGzsggsu8N6naSqLFXIBLMyTq5xaVLgriqLME9bZyJMFOXBiwAYExD6sUhV1H42t2FsI9w9HkzE7zoppx7qidbHhAADIEZxhbxmE0CHskHVR2EybQL0atyb3bnvm6ScBB3LT7Zo3cJSlnVYAotQHmQu8y5ClcBk5jwzOz+ja9oLUiRvGtdBOUM8w6XjS+zojS9gdaLWn2LQRjE9Nw2c2oqd+9fMVk364bQpRsWlNjYhtGKWmmoWlxAQezqATIDUgNnEaFJOgRNnB+sHWksqTETfXrsboKqQFasfGByByoe8EPoMjSe9NB8bzLhZ29Fka5LBXKhXutc1++9vf/md/9meNRmNoaEg+UygU8heiX2dDBpf632KlqNfrRFQsFu+4447/+q//euaZZ9I0lfxOCWzPOPUv6NY43UggvFgsSkLn0NDQ0NDQW9/6VpnNTk9PS+vZRqNxnEi55IDmolyOBoChoaEvfvGLP/7xj6MoajabUp+xVqvlxiQR0/J6zhOno/8plT2jKMqy7L777vve977nva9Wq7KR4nEX5w8zyztHnxT5r0ql0ul0CoUCMydJcvPNN8tkLAzDvHuAtTZ/rZxBuM86mL9zCr9fKtwVRVHOAIdvvlL63AaIourIcOoY1lhrObfIHJnHmSPJqVIOUl4nk1No1uE5ABOYwbAGZEEGbMBk2EDe7w57sttMxLBMlo1hQyxJrkRk4zi2hhz7UAquT0+3D02gz5Tf3Vea+eIIPIVh6DK2JiyWKggsCBTY/PMn2zRqgSMhcJH1YRi+8Y1vfNvb3jY1NSXB13a7LT74JEkajcYcLBCTk5PFYvErX/nKU089BaBYLE5NTc1DUuap4rzzznvNa16TZVleCH9uyZdSF/LrX//6/fffL93EmVl8JtzXBC13nJ/s+P11+vOyjM65RYsW7dixg4gefvjhz372s/v27YuiaHp6+mTHzxtIyYvNmzdfcMEFixcvPtlxlLMDFe6KoijzCvXXRxFXDAhhgDhavGx55h3BWhPCE7En9nSk9p2B4cN/art2JfsOoN2K2TMyL/MBS+CukZwckSfjaLbRjo8FrAcxjCNyxnhr2LAnxz4IjAV80ikTIWm3du1q79lDAOHo4o9djjFv8CiE5SRzJoqHRxcjiuXI9Kv8I6w5A46kq6JXU/yqq666+eabV69eLa7uPId1zumkokcff/zxv/u7v9u1a1er1ZLqiqdwF04r69evf+tb3yo6O/cCzWHi0el0giD47//+77/6q796/PHHgyA4cOCAVPXpL7EPYG7lOGXbZCPzXAL5vatWrXr66ac///nPb9u2rVAonGBVnBl476Veu/c+DMNrrrlmw4YNxy+LqZzFqHBXFEWZb0xPuzPDgx0BoUUYjixdmpnAkTUmYu7dn8kTfPdveEj3Iu6F26UopCfrqfXss41nd2Bq0rrMeOfAjsDo/TJPJNodYInIn+xmEyyR9cayCVxAPgBbJpMyMsDDB5wFBjh0aPrJ7bz/gKh8gqe+fNyug/+Ig9HDmTAsZCkK5Up18WIEoQPL3EZ+5PBHj1ncZtCQ+usiKyXF8Oqrr77pppuk12mhULDWNhoNAHMrE1ksFtvtdrlc/ta3vvXVr35VAvCnfjdOG8Vi8corr7ziiivy3klzq2UZBEGlUvHe/+AHP/jc5z63detWOQ7eeymzKNOnObveZSlAZlmiy733YkBPkuRv/uZvvv71r4+MjHjva7XaHMbPHfBpmp5zzjmve93rCoVC3lFLeamhwl1RFGW+EL8HM6HbaUnqvTgCjIW1haGh8tBwxsaxIYRS8px6fhiIN6Z/PIZhWPnbozhxsLnrWRzYi6wj5Vgyg5R6mahs4LupcOgrVnPiyFTBMoyzYAu2HpGDYULmHSErWiDrYM+u+jM7qo2aZVh/eEEA3Sg7A/D9+9GdohBcAA68CaqjY6WREVjriByQ9ZJp5bgR+ORtPgsRySLNi4q02+2xsbH3vve9V199NYB2u51HVefmXW61WlmWSeXv22+//dFHH+10OnNuzjr/WGvXrVv3jne8Y9GiRZJsKgmdcxhnYmKiWCwaY/7pn/7pC1/4wvj4eK1Wk5xOSaTODeVz2E7TQ4Li6FW2SdP085///Je//OU4jsWbLokHcxg/r07zyle+8vLLLz9+MqtydqPCXVEUZT44nLHEfRF3QkbsDDICyKBaWbx6TWaClI3nmffnw54T8vk4xndVe+Ax5n1nz+7mzmdQnyKfGcABGR2ZxskGbDyzP/nKMoYkn1as7QFT4IkyAhlDyEL28CkO7q89sz3d//ywSy17c1S9dk+H5wzcc/EwERNAsfPWxqVFy1agOgxrfWBSgHvTjK6nvqfiB73gjARNgyCQoLvkZW7YsOG9733v+vXrRdCLTpU0xzkgLotyubxz584vfvGL4+PjA2SxMMYUi8Vrr7324osvltUJcYyc7DiSpSpJq0mS/Ou//usnP/nJRx55hJmLxWKlUpHy9nPuP5qb4/N5RbvdHh8f/+xnP/vZz35WuiZNTU0NDw8TkZQBPVlkPrBkyZJXvepVS5cuVeH+UkaFu6Ioymmnqza6EXdQr7K6J3gYB8oAH1gUyis2bvRh3GGbUtSziPhZ81NFGXtYZstYGqL93M4DTz6a7t+LpMlIPBIHOEJG8vMkfZ2cgZur04TJsrHO2syYhCQczoHxoe9g+lD72e3jO57k6UNx0jK+O684wV9FQTFhG5SGhpctR7HiraUw8mBPfYmDvhcW5b4DO7BIxUDRi9ZaUfCvf/3r3/nOd65fv77dbotLJEmSOQg1KX8eBEGtVoui6Nvf/vZdd901h+TIM8s555xz/fXXr1u3Lm9iNYdBhoeHnXOtVmtsbKzZbH7lK1/58pe//N3vfvfxxx/vH/DFuGXEMOOc27t379133/2lL33p//yf/zM+Pj40NJSmqbW2XC5ba+dgefLedzqdYrH48pe//GUve1m+UDO3TVUGHRXuiqIo80bXAtvNN+15vh3YgXwYolQoLF+ZRYW2Cdom6DYkIsNkZt6ue6XQRbtbBjFXyLUP7pvYvbM1vhfNaeNacAkj69rEDbwFE8T47uZy+/cyl8iMkUC+uNcJSehTSluYHJ/Y/Uxj/x5uTSNpGsCyz+34M+AZcXfAhYUWAipWouHFiGJvLFEoVd+7VWW4axw6bNwfZKIoEgu7GCFElcZxvHLlyhtuuOGyyy6TcoHSUnQOwl2mAeLQkOj+P/zDPzzxxBOnfEdOH0RUrVbf+MY3nnfeeUNDQ8VicQ7aWqwyonQPHDhQLpdHR0f//u///tOf/vR3vvOdHTt2JEmSty6aQ/KrnCD52YmJiYceeuirX/3qX/7lXzrnyuXy9PT0okWLiOi5556z1s7hPIqlZ2xs7KqrrrrgggtEuKvH/SWLCndFUZTTjthzYUBHlvZFLt9BsAHCCMPDyzdtOtBKqDKEMGxnKRlTKBZhqJMdWem5T7sD3sCHrj1WLrQO7nvswQee+/XDtl0fsQGyFruE2Xmw48wzkzXeUMaHC0X3b+pxYtiOPRnAElukBhnYgZmTtDldIIfG5IEntu178jHXmC6FVIit9d4wDJhY5Hd3g621SZK02wnYBFHMZDL2GVHNmxrbpRvOxZIlsNaRScVDREzU9cuI0YZIWkDRnEOkZ5a8oPvIyEj+jhR/FIfMypUrP/rRj1588cUApKwK9Th6tBlFxPMy7VI9ULqlSqLqs88+e9ttt7VarYmJCSJqt9ui/8SKc6bqu8/Yr7wwizRjStN07dq1H/rQh84777xWq0VEkrybt1uSD/cL4rwKTU5+9KS7k9TcfPDBB2+77ba/+Iu/+MY3vvH888/Lz+ZunDy7VBzwcnzkM2mattvtNE3lcDWbTWZut9sPPPDApz/96T/6oz/69re/Le80m00impiYkPlAu90+zopBEATGGMlnMMYMDQ3178sll1zyrne9S0rRM3MYhrm3fnC/CGcl/ff4/J1TeIIGpiyUoijKoHO4ZDREe+blzQ2Tz0CBCVEqVVauKq5YsXdycpUxjoKO9z5JfeqNCay1vv/Bn2t3AEC7VauUS4vi8MCBfc//+tel0aUjG4tDtuiNVMLmJPGJcx5EIYFOOnBDhlppJ8082RjWskFIHINsHODg3slfP7z/sUc743vLnZYhJtOLiecTjd4LY0wcx47BhE6WOs+eDAHTZMNFi6Ili1EsIQgpCAjW9/ZuRsyez4aY+7Fpt9tSFPKGG27Ys2eP1PDOI8EnXsu8v1WqWNunpqZ+/vOf33nnnTfeeKMoe6msUiqVGo2GBP4XDnkpFWPMq1/96ocffnj79u1pmsqmyvQvL50+hzKOcRzv3r37G9/4xr333rtly5Zrr732da973YUXXliv1+M4jqJIulmJ9JfpgfdeTkQcx3IiWq1WGIb33Xffd7/73XvvvXf79u1TU1Nzs8tLtUeZrsRxXK/XmXl0dLTRaKxdu/bGG28cGxtL07RarUoPqZMdXzk7UOGuKIoyT7i8ECQD5ImMZHpaIoAc4AJjy+WhjeeMPffc4//7wFKAw4BhEu+d98UgoCDkYwl3gSmzxhfZm9rkxGOP7YlLRdj4nPPQbiAuIiqGkTUIHEwGTrMMdBKr9sxSmdEbY8IoMEDGGSUt6xNwu7Nj+96H/r/pHU/GjVrRUGgMednjYx0H56y1BEozn3kHa2EMAzVrV6xeVV29BsUirKUgtCDnPFnqFbP30m+W6WwW7qJE16xZ8853vvNXv/rV3XffnUfc0UuCPEHtHoahxNSlx1Oapr/+9a//7d/+7eUvf/nmzZvlM6KPF2CyY6fTERdKkiRLly694YYbHn744e9973sSOBeXURzHUifnpISyHEPnnCjvZ599dv/+/TL4ihUrbrjhhuXLl69bt27JkiWyXpGmqdTnkfo/YjE/cODAY489tn37dulN+9RTT01OTgKQ/FRZ+sDJpGHIKZZJgoTzy+VyrVYjote85jVveMMbqtWqzBMGPbVDeTGocFcURZknHACC4SMqrVjJPPVMZNlECEIsX7Fk06bHHn+iPTltTBiFgcm8SzIYC8B7WNuV7N3iMr3xwkJYa9bZRmOF8qGp6fGHflXicAOFZukyZACYg9CGBZKCio5P/AkgQiHzaRSECAxcRoyCT02aoDXVefqxA4881NqxvdyoD1uKpTyk9yH3VhX6VhcMI+skNoxgLDMbYykKHVOSufZQubpuLVauQKGYmcAgAGAcG0MMx+gF34kAeDprvZ7S4nR4eHjTpk033XTTE0888cQTTwRBkKbpSal28UYbYyROLHo3y7KtW7f++7//++rVq6U0YRiGzWazVCrNLe/z9CHrDNJZdmpq6pJLLrn11lsfffTRp556SmYjoqpfME1zRnvU/IV0dBId3Ol0tm/fvmPHDmvtt771rcWLF69evXrVqlXLly9fsmTJ4sWLK5WKOMunpqb27t377LPPPvPMM3v27JmcnBwfH5ckhCAIxGAj0yQR+ie+v7lVKYqiTqdTKBQWL168c+fOLVu2vPOd7xSjvGQwD1BpIOWUo8JdURRlnujWkjHd5kfMbECeEDAyWBCc9Z5MVCkW1qwa2bih8cD20NiIAhMw2dAxnIenrtYHABJJ0lUujgw7FyOrkAkdDh44VNu2bY/3q667FmYYUWA8J60MJg6CQhQVvZ8p1GbTGaJ1vPORCdi5Tr0dASayaDaw97mn/u9Psz07gvH9w+CKsS5N08x7QvcR07csYLp2IcPOeQYbQ4FlQ6nzHZcVVqyorFmFkREEVlIF2cMaY8C9EpAMeCmCz2dvyF0cGlmWFYvFN7zhDb/85S9vv/32ffv2SSi3X3q+4FAiIgEkSSIaN47jQ4cO3XnnnZs3b37b295WLBYlNXMBBnElW1dqYoph5hWveMUtt9zyyU9+cnp6ulqtEtH09DQRlctlcX7PNg765Ht+AKWPaafTySs5BkEgynj37t27du0CYIwRcS/NsMSQk6aphPnDMCwWi6Ojo81ms91u53YmGfaYG3OceVfeV1UyE5Ik2bVr1/Lly2+99dZrrrlG1hbiOJZJS55Nq7zU0LOuKIoyTxxR07H38LZSnpxhYB0otQRrMTKy4sLzC9VhR6aVZimDbAAYZhhjfLccDTN5Np6p+6eVdgqFwlAURc32SCtdA1s4eGjngw/u/PF/TW3bisYUQhMV4pDIZkwnH121xMRsPIphZKMY07XJh3710Pe+V9v+hB0fH86SYeeKSRplLmZTtv0e3MP7TYwoCImIGNZaBnWSLPPOFqIl524oLl+KQpgZyzbwnuE4BFlpGMUMZhABnnHyVegHB+fcokWLpBpMpVL53d/93SuvvBI9K8WJe0Ly9E3JesxzLp1zO3bsuOOOO5577jmpLF6pVBZglRJjTLlcFov52NgYgDAMb7311j/5kz9Zu3ZtrVaTbWbmLMtOsDxiLuJzHR+GYRzHEndvt9uNRiNJEvHGyAecc7Va7eDBg5JsmiRJFEVS4ibLsunp6UOHDrXbbQBRFJVKJfHfH/O3H//cibsdQJZl1WpVZlM33XTTu9/9brHUt1oticcPUBct5ZSjwl1RFGWecGAG+jofeQJ3e5ECDGbARDEHFsV4yYZ1G8/bVBoaaqVp6jyZAIYY3T6j3CslKZpYhLsHrEHIFLfTcjsZTrOhTsdOT2772f88/ODPdvzqocZzu9FsEQwyj/qsQo1nJ+10kKRIHZ7bu+/Bn2+7776dv3qo0GwNe7eITNn5KPOxp6IJQjNzNT9/3uRRz25yZJoEYbxk6dJlG9djdBSEzMAY6z185qwBxGuz8ELCp4nc1gKg1Wqdf/75H/jABy655BKcfHkK+bCMlpdqkf964IEHvvWtb+3du1fSHBegxz2vCSMaWuLcpVLpE5/4xNvf/vZSqdRut6vVKoB2uy01WE4KqbaZJEmn05FlhyAI4jgeGRmRupNSPUYWK+I4LpfLYoBpNpvT09NSiieKIlH/ktoroXfn3NHNbl/wxMkKg8xAGo1GHMfXXXfd2972ttHR0bzlbW6d13D7SxY98YqiKPMP9zf+ZIbppiQaosAbgkE8PGTPO29kdDEA5z2sMRRwX8dT0e6e4MlLO9KoEKdpmrXaMVHMxLWGbadLy9WKDQ7t3fvL//e//+9n//vM9iez6Toy55NZg3Z+Ftj5pN1q1+q13bse/t//vf+/7z64a/f6JUuizMXsA5chSZAkxrHPfNJqHz2yOF6yLHNp1k0QZO+ci0vFoeXLh5csRRxlDE+GQd579rmNv38Uwmx5r2cFYocoFApyiLz373rXu6655pq+ikQnpN3FXiKua9G+klUpUeRDhw597Wtfe/TRR6Mo2r9/v/hwFhRxHLdaLWttoVCQuorVanViYqJcLt96663XX389gCRJisWiMebEVwz6Z4B5KUmZTGZZ1ul0JiYmJLYtlRblAHY6nUajIdajKIryqjIi6/MCkfloc1jBEDd/FEWy3rJx48ZPfOITl19+eZqm5XI5SZLh4eEgCFqt1tGzAuWlw4L7or7UOLqOshZkXciIrVDiInnpgBPPFTvmaPkStp73OSNfohmyZs7n5fRRBgAmEEs5F2LPzOzJEAExgx0xhxkPZcUhLnBhc7PeNlNNdPaPF9O07LMwTT1aKXFifGYCRwH5OHQ2dJH1hsO9HiaNcYg8k/Ewxjer9eR8HyQTtdaz48mjO9u/eOjQpnOXXni+Wb0C9Q0IQkQRCClzm5AZQ8YYazw761wRFBgD59Fuo9O24zXs2rnn8UfGn3mKJ/ddlDbLvlkY70S+Y5E58mmBHZE3mSPjYarNEWd8ZpFZ74wjZJZ94GFTA8Bz0PLxARPXRwqFTZfgZS9rLzlPYsMRiBwHASEIPAAyhBhG5ipMRAYonsETedrI7/9RFEn2pIR+kyT51Kc+tW3btvvvv1/M08YYqRIjxdpnG7A/31Rah6L3fUnTdNu2bXfcccc555yzbNmy3GrS/1XKb3RnBGYul8vyulgseu9FpidJsnnz5o9//OPMfNddd0lX0UajUS6XG41GnhgqrUyPeRPomzOf9P9KH9P+d/KDzMdt7DpjwiCzAplcybDtdrtQKLTb7U6n87KXvezDH/7wli1bxJAjSbpyjiqVij4sXsqocFcURTnD9E858sk8EWF00di6Na19+5qtVntqOgEZMmnqKZAykiCW1E/L5JkAjkA9OzkbKaROjJBAxsIY59LmxHjtsfae/bvDoerS33hNqVIuL1pE1aGwGIdh2G2vagx8hixDlqHV4dp07eDBRq3eemhbqzbZmjyI+mTsswg+YCLPgJEqjZJ72/0bJvff5/Z+wzBsjAlKpbhNUTPJ0jgeWb167JxzsGxMwxazIbaij370o1NTU7/4xS9GR0enp6eTJKlWq1IV8WRHkw4+xWLx3nvvvfTSS2Vk8XtILRfvvRQyPx2782IgomazGcfx5Zdf/gd/8AdhGN51110TExOVSqXdbltrpeKKBLxl1nGmHOHHuZhlCUtei0mJiAqFgsyU1q1b96Y3vem3fuu3VqxYMT09XSqVTmRM5SWCCndFUZQzDHWrHPa9I4/ncqW0cePadue5Zqv5+KNhq0PWBrbokRn2lrtlFr1hh8yTCblrK88je8SGGMxZSGQAz961OlOdWu3QXmdpck+tWKkOj46WR0fjSpXimAPDMEEQeJdykvl2O202GocOTR061Jieor17rfchXJF8iXwBLuDMgogJCMBgApjgDQwA40zqxYVPTIBl2R7DHsbGiaOpLMOSobFN51bP34ixxflSiSp4IT8OUtvkbW97269//eunn3660+nkkvoEkzL7yWtEMvPjjz9+xx13XHvttWvXrpVmnACCIMidHlmWLRwXjRwN6QJbKBSuueYaKfnywx/+8Pnnny8WixLwliWIIAjmZlk53cgqq1jqZ3R0arfbGzduvOmmm97//vevX78+f/8Mb7GykFgo30ZFUZSXLIzD5er6l+nrWVYZGSleeOFYrbZnenJy5zOGeVEU+dY0GMYDBE8eyJwJAGfTmAEmL2oeEHHvyXvy3nJWtARCYIw3obdmYsdjnTA6FIZThZjCCEFIQciGgiDwaeaSjk86yFJO0ixNTZqMxdYYDsGWOcqygLMQFNjApfDkwcaTbBdJBq0zLSb25IkRspc0XLDxJpxO/SQMjy4aPu+8RedfgOXLUYyIjyFQ+p0bZ3UtmWOQ77gYY5j5xhtvfOSRR+68884gCCqVSrPZPJFC5kcjrvF6vV4oFLZu3fqP//iPn/zkJ8MwzLJMgvFSmlCi72dKuM8QrPk0plAotFqtqampQqFw5ZVXlsvl4eHhb37zm88995xsrXxMiiqekS0XZrPqiYcnt/TktXHq9fqmTZve8573vP/97z/nnHMkL3ZoaEg+jz4T4HzuhbLQUOGuKIpyhum3F+dvMnPTRqEN4pGR4QsvbNVr+9L2wX3PuywpmyjwmWVnCI7gjHeUMRCh6CGqPWN4gmHyxN4GTOy8T43nyLBhyxQYtsOFkuN2mrRcx3sQwzABMEEQOJf6zIFdYCi0QWjJWLLZFBGRY3gPzwbGBIE1Nss8YDwRs2HqWmUMkNmUANOT7NYbIHCwqY0mMt+sVhedf8GqK15WOPdcX63W4UtZHnG3fQeEpXA78gZMLwGOznuROuLnn3/+7/3e723btm3btm1SYGQO2jSP4jvnhoeHm83mt771rde+9rVvectbJMlSev2IbWNB9foRvStO9yiKms1mpVK59NJLvfcrVqz43Oc+Nz4+LsXOjTGdTsc5J7ORY452pnJgxPiUZVmr1YrjeHh4uNVqdTqdiy666IMf/OD73ve+ZcuWNRoNa225XJbPqFhXclS4K4qinGGOFhDyTrEw0sk6IB+vWLnksktTTvb9Mtu7e+eKMCyniDyIvTzQ2Xhn4AmAYXiwQbdApAd5MBt4MgjIE1Pg0qyVMCGIPDMXASZDRIARLWi8ISIYEDERERKp4WLSWk9SG4DYI005JQ8icFf0ewDdupVwJrMeBATeBN4AxsNmJpw2tlGOg7VrFl+8ubhpE4YWtWAScHnWgOJJR5TPJmReR0SlUqnVal199dXvfe97//Zv/3Z8fFzE9xzGbDabkgc5OTkZRdHzzz//hS984fLLL1++fHl+/NM0lYZEp3JnXgSi2vMEUGutJG6GYbh58+ZVq1ZVq9W77rrrnnvuEd+/bPlCawcLII5jSW+VF51OZ3h4ePPmzR/72Mde9apXrVq1SrJcRK/328ZUvitQ4a4oinLGOfp53C0tApsak4HCMLRr1y9jlzk3YUxt/ID1xnoK2Fn2TF7qwxv2njyJWCcHiHZ3njNDZMkExlrAMVvvvUezM0WeiCgw1lhr2HjvqbeOb4xhw977jL1zzsEtCi2QgYnJcEDeUeZ85n0YRBIKN+wNAHgR7sxsgMBT4GG9cWRTEzaDQqNQKKxft+TSLYvOPx/V4Y4zKRlrQ8D0mwEWWlGgM4KYofPD0m63R0ZGrr/++kcfffS73/2uVC2cc1WrKIqk2VAYhvfcc8/Xv/71D3/4w5IKKWUQAcwtqH9qmVF4LY5jKXUvfh6xxCxbtuyWW25Zu3bt6OjoT37yk927d+c7eKY2e7bUXmkHG0VRpVKRcjHXXXfd7/zO77z1rW8FIKejUqmIQ0bKwytKjgp3RVGUM8wxA2lElLVRiC0HpQxJWKJo3brRVoPg9/zsAcOG2BRcEnpnvQd7Q56oYwievIVn9l5aq8JTYD0zmD1gQGBDZA2hUA5dlvnMZczkvTEwFgRiZpLC1oC3RKAgCkMT+1Y7Y89MIGMDiyA0AQUOLOF3AMTEIHiJ/jPDeDJsDAeObGqiVhBNR3Fn8ejy8y9Y8ptbsHxlwmEnhQ0LEUIiP9vReKnR7+wX4W6t7XQ6ixYtyrLsggsuePvb3/7oo48+/PDDYvg+qcHFXS2Gk5GRkcnJSZmq3Xbbba95zWsuuOACAOI2wQKbPvVXes1lcd7itFarvfnNb77kkkv++Z//+Utf+tIzzzwjwlfams4/swn3NE1HR0eTJDl48OCyZcs+9KEPvf/977/wwgu9992WZO22zE/Q0/Hzu+HKgkaF+xyRKX69Xq9Wq9J/eG5LlnK77C83mwcSTsNWKy8WWZaVomPinpTMsNkiUkdfEhIekzhQGIbWWqnmK+MswOJrC5lc2Yim6XQ65XK50+lIgtocUtPCMJRa0XKW4zg+MjPyxWKOtGgTCETSiak/M7W7OM4oENjBBeQRJHAICkPnbBxevtywmXzk13v37FkaFobAnfpUSLRoeHSytq9bHdqwgyfAM3uSjE7jyICJ2Bg2xCA2nbQDSKwdYDiGYYAsEcBwABMYxGQ8Aw6BjQkgNp4og4GXOjJkDVkQsWfvOEsM2BICS0nbMyxslAVhM+WaM+lQxS9dctkbf8usXo3RMTaRy6w1UYTQOnj2+e5Tr3XoHJALoNVqyTc0/4rNdipn06ZyFQGw1kqrnVzOnm7y3yIiWzYyjuNarSa9Ql//+tc/++yzO3bsSJJEHhlS9DDf5uMIViniTkTyrZGvCTNv3779U5/61De+8Y3p6WlmLhaLnU5nIfT6OfrE5dssqbTinxkZGWk2mytXrvzTP/3TN7/5zZ/5zGd++MMfim0mvwDkhXPumDUi5WoBICV3+r/+R3w3j/y8HEx5iPcnCst1KPpb2qnKlq9Zs2bXrl1BENx444233HLLK17xinK5nDcJISI55jLUGV/uOHGYud1uywEZHh6emprCnPpphGEopylJEulm1Wq1isV56tzQ6XTiOM5b2ErZH3lAyzvyWrooHHMEWQiK41i6CsjXcw4Z5LOh6nCOyC0gt9DJOQ6C4GS1e/7AFhWIXiO307HNyotH6hXIw1tq7uarycf8/GxCIa8SkKapLJueWoH4EiSO4zAM8/4y+ZT4pAaRz8tTUx4e8iSeB6127MebAzEswNYyBc7GaVyOQGtfe02xXN354AN79+7NvB0pj5pme3LvZLTIADDkmdmCnWcPdmS8MUxG3OYGxoMMDGAMd/uSEgPw4k+Xq5ABw3AGxAYEQ7I56H6CTf4SYJ86IoTGG4INLSEzDDK+aKuwgTNhPXNThtLhkZFNm4Y2nW/WrMPoGIpVmEJIlry1HvDg8IivwDGf9yfyNZFbaBRFUtVbvmIixWY7+Md8P/eoSHxXLokX/O2nFZEvzrk4jq+77ronn3zy9ttvF3ETRZFzLk/ElKjtMQc5usEQ9cqw/PSnP/2bv/mbT3ziE81mE4AEgAflkSRrCK1WK8uyyy677Pbbb//+979/5513PvDAA1NTU3JzkDaoMh2SPrKuB3pauV9j5XfmY0rzvAFffs/Jpwf5HV5knzFGHhze+127dr32ta993/ved+21165cuVKE6YJKJ5gb+T6maSrXD2ZWhTohms1mp9MR7SvvzE8oc0ZGeD45lNOXn/f8oX+c53te5TNfKzuFuRYq3OeIPAnEBZgLrziOT3ZJTgKu+TnOe1Pn16uy0EjTlJkl4i6xrmKxONvMe7bvqlRllotHtLuoQ11pmRu1Wq1UKllrJSYqCyNzENyFQqHT6UhEU3rQzLNWm/G7mCFWFwtmskDIQSklGxZLS64MbLn43M9/OfnMTrSzobCElFr+oCSNBiADCgBPlgiO4UAGxsMABJbLzAQuBEDsDYOko1MvDZQAhgkcGOQJTAa9FFE5pr2fYsAbw8TOZ75bsp3YMzhjF5Q7nhtMjShOh4fKG85ZcumW4vkXYGQMUQmIiG0A261G75EXkwH8jOKYMw7O8U+KKCGRs3JHRa+G4DE/f5yIoFxI8g2V0fIQ+Pwjdx7ZkjAMt2zZctNNN9133327du0S5SezlCiKoiiq1+uzHSX5XuT/mwvTIAgmJyf/5V/+5frrr1+5cmWapnJn628AtKCYsYPNZjMMw1KpJEUtK5XKDTfc8OpXv/p73/vef/7nf/7kJz85ePBgFEUSK82y7Jj37Vyf9cfa+7X4jNkOetMbeV+OraiCYrEo4i+X7yMjI8PDw+973/te+cpXXnXVVeVyOUkSWYM9Hcdnnmk0GrIj8iALgkAWN0424l4ul0ulkoTJOp3OvE1p5JuVPzXktAIIgkCe17Ij0uXgOLeg/L+krKpcOacwV0FVwtyx1kqTOYnEeO9P1mgIQL7M6KvPFUXRGQ/qKLMhwRWZbuUTtvzxdszPH/N9sS2KCABgrRWRcRo3/aymUCjIMZQoSD4dmkPEXawycl+eN3ev/K78N+ZXgreeiAw8McEzk/WIfEBTzdrwilWj5bKNSwfiSmf3c7XJhnGG7ZRhDr1lpggwRIaZHcMYEBzBkCe2Bp7YEPswMyAPGMAbJgm8HwGTJxiJr7PpBPLCE7xhGClWAx8GNst85n0GNsaQtSACMJWFTe8ahdAuX774wgvGLrqouG4DFi2GKQAWmYHMFwhs4QHb+wZwL7e1dwo8AObDqasvGMZzzsn9Oc+tTJLkZFfGcvtivsQ6wykxz8jMIU1TUdLMfMkll9x888233XabdGXKm4Ye354+26q9aM0nn3zyr//6r//8z/98dHR0wUr2oyGi4eFhMf/IBEYm8MuXL//93//9V7ziFW984xsffPDBX/7yl0899ZQEdPNAiZxW3wN98fX+CWT+z1zHSwA+v64k+CJXnVR7lJWQSqUyNja2ZcuWa6655uKLL77iiivK5TKAer0OoFKpAGg2m/PmBjlNxHEsh9RaK083OZ4n+5Wp1+vtdrvRaOSHXTT06V75zGUYerO1JElEpkscRz72ghH3/DYlYb4sy6S+6qnaThXuc0S8aOLoIiLJ75mzhykMw3K5XK/XF0L+vnIc5N6RG16Hh4dlWXC2G8pxlJ/ciYaGhgCIqRqaljdXcm96uVyWR6YxRhy6JzWO975UKtXr9bGxsTxAMj/JYccUoy521huA4BmwAawz3pkwrkYJpWF5aPiC36hWRhpPPj3+yOMHdu0eLo9wloaJjzIPRug92LH3IjYNeXTNMI5gDIG8BQPkAWaS29eRNzGCZQOpLwkv7hqCt+yJ2SIDvGFkmfeAD6w31tnAWesZDnQoKFG5VFm1YmjTuYsvPD9esxalIceWEJC3xBZkwPCEzMBZBOK8YRAZ5nxL+l+c6O0xV9iS0Pncc8/JM/iYHz7OyphUAR8eHgYgI5zZL2m+ZC9JVnEc33jjjffff3+tVjt06FC5XG40GjJrlYfUMQeZ8ZTJ90jEVhAE3/nOd6677rprr712aGhoAebe9H9T+k+HLJHlKQ3iVK7VakNDQ7/xG79x0UUXveENb9i6detDDz20devWp59+eseOHZ1Op91u589uub3nQZl85FzZo+/SykOwhUJBFGqWZXItyTSvXC6Pjo5u3Ljx4osv/s3f/M1LLrnk3HPPrVar+QkqlUpybGWJYJ4O32lD3MLS1BY9RzHmlN8sC6fyQt6R8vyndHtnkucY5O9kWSblfeRWIBdGvuo1m+Tr//bJ5wuFQq1WO1XbqcJ97khwjpk3btz47ne/e3p6eg43uLzv9JIlS6rVqoRvJVZ0mjZbeTFQzwkKoFgs3nDDDS9/+cuPo+pmu2HJXaBWq5XL5fPOO08uA/GtnqYtP7tpt9vMvHbt2g9/+MOSpiZz4JPVWLKyOTY2Juc0n6ednq2eydEx/oTSwBjiwHS7GoHYEqwn00rSAEF1yVJTGaqWK75YopXLpp75ue+04ZpxmmXel8nEJgpslnEm9V6YHLEjCXMzDGIAXqpGkmdikJfupcQAG2IyMMSm21QJAMF4T3AG3sABHoTMwwfW2Tg1tsW27ZDBOoNg/fqxtWuWXLApWrMai0ddsexMBLbWB8ZbGCkHjxQ+IfZERZj+ozHjmBARwERH2DxmI1/aLpfL73jHO66++uo5RP4AhGE4PT1dKBQ2btwol1aWZWfK2CB2c0ltj6KoVCo559asWfPBD35w8+bN4+Pj5XI5y7Jmsym2mdkaDx3zOIj95uDBg2NjY8w8PT0tEccsyxZg3P2Y2l0OS/+KqLV2aGhImhkZY1avXr1u3bo3v/nNTzzxxMMPP/zggw+Oj4/v2rVrz549Bw8ebDabsiwj5eFFTNORac15ODbPNDXGiEU2CIIoigqFwuLFi1euXDk2NnbZZZetXr168+bNmzZtGhkZkS2cnJwcGRmRB31ezpKIJAY/0HQ6He/9mjVr3vOe9+zdu1euQEn/O6lxisXi8uXLN23aJOJYZkrz6SPNry7v/bJlyz7wgQ/s27dPpiXiZM7TkY/54+LYTNNUvJdi31q3bt2p2rz5Wws++5AZuTGm2WxOTk7OLSZXKpXSNO10OkS0dOlS9PL9zw7H29kHH9kD/Pnnnxcn5Wylgmf7fonPcmJiwhizZMkSGU3zU+dMfnPfu3evrE3XajV5jp7sUGmaLl++XMaUJ+v8hxvzy2aSpkIEEQeBt8ZZsPEGzqKWdMj6MECRvE07mK5hehrt9nM/+8/25HRr7z5/cKLYbJfYlQkhceqbnpgpk+i1ZU/SqInLDIhkZ+MdeU+HY0iGjWVD3hCTYUNA24YENuwNZxZOcls9ITPG27hNQZ1s28aIy4WRRYVKpXzpy8dWr6K1a1AtZyZokSWKA0QRg1IQAxZs0CLfooxBi/nwXZQoPw5HhLX6fPAvgHxPmVk0RO5YPZrZ3pcJ9sTEhMgR+Z7O/7po/21ErklpjSRr8aIdJyYmxOEtLTkBiHQ45oCz3Weq1er4+Hi1Ws2ybGpqasOGDQtzEXiGoyx/U86jVBOS0Lu8me+CGI2iKJJTmWXZgQMHduzYsX379meffXb37t379++v1WpPP/10s9ms1+tiQEcvTodeFFnmhOKBKZVKQ0NDlUpl8eLFy5YtW7ly5YYNGzZs2LB06dLly5eXSiVR5Hm2ZW6wye3U+cjzeQxPB3lhnIMHD0oRfVnNOFl1JL7HKIqKxWJeNGl+Ho55sFweKJImWygUJicni8WirOtGUSSLusdZ0ZKMGikDJRWu1q5de8xH/Bye+yrc50huhpPvv5zj3GJ44ojLQqJ69XpdbihnwRf4bEWKUsmJzhfi53DKWq2WpCVFUdTpdJIkKRQKWqz3xSC2ASnjKDdNuc+e7DjGmDzVFWf0mcrMh2gygI0QxT4gB3DgAR/AG3ggQ8ennTL5wDDaLZ6eptohPPf85BNPTD31TLp/f9Soxz4NOA0CeJMyZeKKseyJYQDHFU/M3carmZOgew9ismysD8gbAgxTxwbEMMgMs+XMwANwBGfDDoImhXUTojIyumr9mvPOx6o1WLkS1QoqZW9t0wZMBSAkT2Ui7sB4IASHaMK1kWXAUu6uOB35IJtxEl/4XDSbTWkyKoVW5C7dbrdn8xDP9hxst9sS1ZaLodFoFIvFMziRIyKJ1wIQWSCqtNFoiE9abF0S/ZlDhFLcCM65RqMxNDTEzPLrFlpA4ZjCHb37c39dxf4MB+plFcuzO/c8yOs0TRuNxsTERL1er9frU1NTBw8erNfrklcq1nl5UssFYIypVqtLliwZGRmJ41hcMYsXL65Wq3n5zv6AcW4aEcNVXrEk35GzI3Aj5uFc1cjxP9n7sJwaeT7KO/lhPA2bfMTvzRNa5CxLaUgA9Xq9UqnI6ZO7ijhmj7P9csGkaSqawXtfLBZVuJ9JjhOhmectUeaTU3Xe9fpZmCy085I/riREd8ynV78ZN6RDSDI3PT255/kDz+yYeGZnfc9unphcEphi0ikk7ThNCpwViSOwId4xkgKwDOPYeEbm4T08h2EIQ0zElhwhI87AzLyinsJYb0xGQWLC1ERJVEji0u6pRlaqhouXDK1eM7Zuw8jKVeWR0aAYp4vW5o6XfvkyG6fqwXyyz7XZfu9Cux5mQ+9Lc+M4yet51mle7ln+KeZ1a62Ib/HjzXZ8ztbjNhsne/3M9j094xOY/ozk4zDbfp3u75F63BVFURYuJ/IMy43g7EAmsEPDi8PC4sWLk3XrG/v2Z4cObv2/Py0HtmqLVIotO86SRidxWVJ0BWa2DHg2nq3UjCdu19tE5A15S94QEQwRQHUKYEMEYQrTAtWyrJG1G630nIu3BKNjwyvXDq1cHSweQ7EEa8GYodpP+8FSlFNELtD738wLicyYiGoA9Kzk6KSjBcIC3ayFz0stMqEIGtk6u1lo5yVfReW+/kFHy4XDt3FXJ3hLXYc42i1MTmBq0k1NTO7Z9fwTjx149tmsNlkkrsZxOY5LzSY8EyMABUzWmIi6EURmzoid9xmxI3gwEyZtmjrfcT4xQVQdqixbMbxyTXHxkqEVq6i6CKNjKA8hKoAsyIAoRdQvdHAC9ddP1XE7qc9rxP3UjjMoHCfnof+Kne3yeMG47Nl63GbjLIu4H/16Bmcq4q7CfY4s2AtOOa2cqvOu18/CZKGdl+ML9/6PyQtr2WVZlqXEzhoY5zhpc9Kidtu4DtIEjbo7eHD/7p37du86ND6+errDznvnkDp4bzwsyEg5BWYH9gZM5C2RMWTNweGgMjS8aMnSoaVLh5YuDRaNojKCQhHVEQQxgggwDtZTEIYxAptlR5TPe8HDuNCE+0K7HmZD70tz4zge5aNfc18L1Rmfn+34nK3HbTZO9vpZyNfbidxDztR+qXCfIwv5glNOH/qAPLtZaOflBYX7jNC7IeMdZ94xO8BLIUkyHt4jS9BpIekgbaPTRrudJal74mmXZUmr3Wm1s3YnS1LOHJiTJCFjKLBBFNo4igpxEEfGWlq5pFAqFipVlMsolFAsICzABmwCbwJvI2MjJusYLmPnXCk8XLrxBD0/p+dAzpGFdj3Mht6X5sYJ7u+Mpa2jr+eX2nGbjbPsOLygPFbhriiKohzBcYT7MZ8BPiVjQNKLlOGZDZgMt+o1aygw3hgCM9jBpXAOLkHmkKZIUnRSdo6dl99ljDGBpTBEHCIKEQQILMICADhm5x2IwtDGBQRh4jgDgSyCSBaDO4w0daPBMbrkHIcBfcArZxmzVa2Z7cN63SrziQp3RVGUBcpswj33Ss5UDFIko+895+B9FkYBmEEe8Nzt4+6YmZHIZy2IuPeTDKQpDIEIBG/IE6RyTdL2URRFYQFEYHjvM8eZ5zAuOvapY3HGwIrdBtVTZFlRlPmk36Pcn6HY71HOqzlJ7b953kLlpYwKd0VRlAXKyQp39khT75yzxoShJQIY8PAEZu/BjjxZ48n3OhulAAyIQAZdVY9eUJ+JIIXfwQ6ewZxZa61heKkaaUJrDBGylMkSLDwjI3gGCAYoqnBXBp9+maSXqHLGUeGuKIqyoOmP7cmL2aoTOAIAA0gbJeK+ACGBAU8Q+Q4AIAMvnxB/DXN//yUwAYAn5P1LHSwB0nWVGIZBADGM6Y4ov4Kp2zMpPrs8r4qiKGccreOuKIqy0DnRisKUAfDd5qKGKV/xP6zgiTlgEeUc+F69F5YPiVWGu51LGQyYnoIHkJlei0f2AEAAi0zvednhLXffBACohUBRFOVUosJdURRlYDh+rNqyYzIAQPBw/W53w2Bmw90wvAh5D4Bzb3sfvUkCHfEvBMggOr73A97AsCh8T72YveHutrJR4a4oinIqUeGuKIqyoJFwey7Zj1PFghhgzzBMkOB4LxbuAWNAhhnswaZrf7G98XsjHLOeBh1+0Q3hd403AHW9NNz1zxxRJO/F7riiKIoyAxXuiqIog8EJWMMtIMVgulq89wNGuqmCepJd3PDmyNxWAh0ZfKeZ4puPjs4DIBlbVPzhD87aclJRFEWZG5qcqiiKMhjkt+tZBTG7wy8Pv2uo51kHgNz3TgB6dva+8Y5+KByW75Qefu/wkIZADM5zYQ9/3qhwVxRFOZWocFcURTlLyACgZzHvt7j0RDbz4SoxAELPEp/P6WWWEmaE1hkAmJLueN2wve2NZQ5/Rj4uEX3V7YqiKKcUtcooiqKcJUi8XXS3YXAv+M0MJjiA0f1bwu6BBN27onzmaEeYbeiodzgX6aaXxNr7WM8Lf+yilYqiKMpc0Yi7oiiKoiiKogwAGhBRFEVRFEVRlAFAhbuiKIqiKIqiDAAq3BVFURRFURRlAFDhriiKoiiKoigDgAp3RVEURVEURRkAVLgriqIoiqIoygCgwl1RFEVRFEVRBgAV7oqiKIqiKIoyAKhwVxRFURRFUZQBQIW7oiiKoiiKogwAKtwVRVEURVEUZQBQ4a4oiqIoiqIoA4AKd0VRFEVRFEUZAFS4K4qiKIqiKMoAoMJdURRFURRFUQYAFe6KoiiKoiiKMgCocFcURVEURVGUAUCFu6IoiqIoiqIMACrcFUVRFEVRFGUAUOGuKIqiKIqiKAOACndFURRFURRFGQBUuCuKoiiKoijKAKDCXVEURVEURVEGABXuiqIoiqIoijIAqHBXFEVRFEVRlAFAhbuiKIqiKIqiDAAq3BVFURRFURRlAFDhriiKoiiKoigDgAp3RVEURVEURRkAVLgriqIoiqIoygCgwl1RFEVRFEVRBgAV7oqiKIqiKIoyAKhwVxRFURRFUZQBQIW7oiiKoiiKogwAKtwVRVEURVEUZQBQ4a4oiqIoiqIoA4AKd0VRFEVRFEUZAFS4K4qiKIqiKMoAoMJdURRFURRFUQYAFe6KoiiKoiiKMgCocFcURVEURVGUAUCFu6IoiqIoiqIMACrcFUVRFEVRFGUAUOGuKIqiKIqiKAOACndFURRFURRFGQBUuCuKoiiKoijKAKDCXVEURVEURVEGABXuiqIoiqIoijIAqHBXFEVRFEVRlAFAhbuiKIqiKIqiDAAq3BVFURRFURRlAFDhriiKoiiKoigDgAp3RVEURVEURRkAVLgriqIoiqIoygCgwl1RFEVRFEVRBgAV7oqiKIqiKIoyAKhwVxRFURRFUZQBQIW7oiiKoiiKogwAKtwVRVEURVEUZQBQ4a4oiqIoiqIoA4AKd0VRFEVRFEUZAFS4K4qiKIqiKMoAoMJdURRFURRFUQYAFe6KoiiKoiiKMgCocFcURVEURVGUAUCFu6IoiqIoiqIMACrcFUVRFEVRFGUAUOGuKIqiKIqiKAOACndFURRFURRFGQBUuCuKoiiKoijKAKDCXVEURVEURVEGABXuiqIoiqIoijIAqHBXFEVRFEVRlAFAhbuiKIqiKIqiDAAq3BVFURRFURRlAPj/ASNLCYIvtyCqAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<PIL.JpegImagePlugin.JpegImageFile image mode=RGB size=1000x300 at 0x2D2B1303898>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from PIL import Image\n",
    "import numpy as np\n",
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "Image.open(\"./imgs/pytorch.jpg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(224, 224, 3)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2d2b3c042b0>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AFyfYbt4ng7FeclEUcdFFF7W9jYg0KQVIhwZTTVsVi0WCIGiyKM812WzCru34Zs9QQAUKtWhP/gcxGOpZ5dTaHSW1M8wyvb29fPWrX+1qH9aA2SmFQoEoitqeep7PzIQKfw3wB1XdDKCqm1U1UVUDfIM0D0QTugCSwVh3YxHhrrvuamsbO2c8vgsahiH/93//N6lSGBkZoVQq5WwPIkKxWGyaeporzPBu/MRO5abVx6/V8NSgDe3eBmJT3TtPTs/zGBkZ4fbbb+9qP3a2qBOscbNUKrFp06aujj8fmAml8DYahg42CUydN5HmgZhXtLIPjDcO2bl6SN2lN23a1Haj9H2f6667LrdPYwyXXHJJS0uzbTSlUim3BsAaNxcvXpzNz09mxKrVapPOuIwffth9TrSvRgu81lv8tvvvIzD5jA6LBQpxRIyApuHeVcFLIgpJfTqvgxwQvb29Lc9zvDNVI41Lm6fTs7LTx/Z/O/3oeV7m++F5Hj09Pdl0pD2eVdhRFHH66ad3fOz5RrfJYHqAVwL/1VD8zyLyJxG5FzgZ+Eg3x5gNGitUGIbZDQ6CILMeNz7darVaZl9ol0MOOSR3HM/zuP/++1s+hWyF3r59e24bWzH/+q//uq1jRlGUW0TViF1A1Eij89Z4CoVCTmGYeqPe9NjDeKTDBi9d4kDBxBDHmGxXHmLAq0UEvqTLKjtgZGSkpf0kSZJssdpEqxbb8QRsxXg7gcUOH+2+rdOSVSCNGGN45JFHFvxqym7zPowCy8aVvbMrifYCjSvaoijKni52hZz932IX2tgnQjs3vVAo5JSIMYYdO3YQx3HTk8zu89Zbb225n3POOaepvBXFYjFzwmpERBgYGGDbtm258lKpRK1WIwzDJoVXrVZzshqA2LB780ZE9yiXdBARQ2yIgaKdfsQgGkMNjC8IQUeRFarVanaPGhurHbNP5AkZBAF33nknL3/5y9vuMVjlePfddzeVRVGUuWEnSZLVFd/3W7rAh2FIpVLp2EdmPvG0XiU5EXEc89KXvhRIlUK1WmXjxo1s3rw58xBr7C1Yh5Tf/va3vOQlL2nLlXhoaCi3jziOCcOQ4eHhpqdwoVDAGMOHPvShJtfmKIp4znOe09Z5vfjFL84cahqxTjk333xz7rtjjz02Uwythk+Nv409j9ATGEzn8I2Ab9KXV63C4Agj/YvpFUENhJ4wuOEJBpYsQZeuIhYoTNIzGc8pp5ySe0JDeh9GRkbYsWMHTz75ZO7pbn/j+z4XXXQRf/zjH9s6jiVJEk455ZSmaxAEASeccAI33HADK1euJIoirrnmGi644IKcJ6b9/ejoaM4hayH6LOyTSuHII4/k+99P/axKpRLVapUdO3bwi1/8gk9+8pMMDQ1lfu6wp4H85je/4eUvf3lbxwiCINf1hLTi/frXv+b1r3990+89z2Pbtm2ZX789rl2Y1I494+qrrwaaZyusJ+ABBxyQG7788Ic/ZHR0lJ6enqbKG0VR89NOoVwIoJbuw5oa4ySCsdG6oTFVdrVqxP333s0hBz2DZctW0amJ9Jprrsm5bcOeBrZlyxY+85nPcMMNNzR146Mo4vHHH+/waK29OCFV5l/84hdZuXJlttbinHPO4V/+5V/485//jKpm19TOXGzatIn999+/YxnmC/ukUqhWq7nZgXK5TF9fHxdeeCErVqzg3HPPzTXCMAypVqvcc889bXdJ7SKaRlSVW2+9tUkpRFFEGIYEQXo7Go89MDBApVJpq3cyMDDQ0tBmy8bbM3p7e1m+fHlOAVrsEMrKpABRjWIhBKrZTIMomDiBaoSIl7k3a5Lw8F8eYtPjT3Dq819AocN4jfvtt182hGtcvel5HsuWLeOqq67i2muvbdpuovH+ZNinfW9vb5NH5KmnnsqJJ57I2NgYhUKBUqnE2NgY3/ve93j+85/fpKyTJOHJJ59c0EphYVtEpok1Uln7ge0mep7HGWecwVFHHUW5XM5+byvZzTff3OQTPxGtuo3GGK666qqWNgkbfadx/8YYrrzySkql0qR2DHusUqlEsVjMxrz2Ze0h45WFbfD2OjS+7DWxFFWo9e5kea1C4kGhrl8iH3p6+njsf/6bAhEjVClGEPQYjvnTWg67/9f0GcWrdhYRyco73qhoez1hGPLf//3f9Pf352aT7DRyq2FUKxqHJo3rRorFIsYYfvGLX2Sf7fULgoBDDz2URYsWNSla3/f59Kc/PaHhciGwTyqFyejt7eVrX/tayx7B6OhoR9Ndrbr8dtHMeP7whz+03Ee7w5XZRhUKRpCkWXYjsPGRRzDEhCqoByaqsKwQ0Cc+EkX4/sw2kCRJOOmkk1pO01pl0gnbt2/PKV7f97Op4PEUCgVqtRoXX3xxy+ntO++8c0E7MO2zSqGVq6qIMDY2xgtf+MKW48tardbRdFOrXoVdettYaXzf5wtf+ELT7wqFAj09PfOngsUx0uKcEs/A4E6SOCKI06zUJKP0JlW80QqMjpKY7oO4Ng4j7L3YtWtX00Kz6fgq3HPPPbn6MDo6ynnnncfIyEhuOT2kw72enh4+8IEPtFQaO3funD/3bBrs80ph/MsOGw466KCmbTq50SLCscce27K8XC7n9hVFET/4wQ+afmfX2Lc7ZGnctvHV6e9bbSMesHETYdzsZ5EI7J+MMhAbiAMqfg1v/TqC3dsYiGr85T//E8/vXClMdI+ALAjJySef3NSFt9etEy666KLMKGyP8c///M+ZI1XjNbExC2q1WhbnYrzvy1Tu7POZfVYpTMTY2BjGGF75ylc2fddoaW6Ht7zlLU1lSZJw//33N5XbsF8WO6afTxVLt25rncdBDD2SUKolGC9ASdhw95/wA6XH89j28IP43sydR2Ov7owzzpjQiakT7BSnpa+vLwt+0spg3NfXx6JFizj11FOb9tVpCL/5hlMK4yiXyxhjMj+G8XQS/+4Nb3hDU1mxWMymQy1JkrSMAzAwMECtVssZ/OYKVYPZuQtpsQbaNxBqDLsGqfmCGMOOex5AwxBNYryRnYh21tuZCtvjev7zn9/UaDsJ3GIZv5Bp//33z2JejsdOG6sqZ5zRHENoPqxR6YZ9UilM1aUOgqClL4FI+zEQRYRnP/vZTRU2iiI+//nPZwtvjDFZL8FWJuvM9Ktf/Ypisdi126x9snZTWY1G/PFnP8O0GKoXEoijUTZcdz2xGaFvdJQVT2xjMPCoeYYlyTDE3UeEGo+IcOSRR+bOS1WbbACTYdcs2BBr1iHpy1/+MuVyuaUh006NRlHE29/+9iz6EqQzQOVymZ07d7rZh6cbE8U+6KRhWWeXxie9Xc1XLpez6baHH344t51dcWfX588HklpEbcdOatp8/r56eIWA4Ycfpa8AYw/8iZ4oooKQiFBMahDNvFIAWrpod9IY4zimWCxSLBZzvYWjjz56ynvt+362QKparVIul6nVahx55JEt5VooOKXQIZ3caFVl//33b7kWwZIkCdddd11OcVg368HBwXnztNEkJqxFmBZTi74BKYSURoZh85M8+MtfUEgiEJ9EoGhq8Pjjs2J869buYnsUjT3AMAxpdzm/VRx2wVx/fz8/+clPpjWEmS84pTABrQK1djr/XSqV2LhxY+6JkyQJcRzz93//91nZFVdckbNVBEHA6173Ovr7++eFUlBVekOflapEQbM8YeIxYnyWjGzjwX+4kGf/+XdUCpvpqRlqXsiS6gi/+uJXZ0UptAqK0okxOAxDvvrVr+bWqjRGR54Kz/M47LDD+Nd//VdGRkbYtm0bS5cundLhbD6zMKXeC0wUJruTRmrHqq16CjfddBOwx2g1fiXgWWed1VEE6b1BNFahljQbWkVBfA/fMyz2BBkdpiYRYuwaCYNXnZ1zaTVd26nisasj7epLmy5wqkZte3cXX3wx5513Hp7nZcvsFzJzb9aepyxdurSprNOndqlUolKpNC2MMsawfv16RkZG2Lx5M0EQ5J5uAwMDnHXWWfNi1iFj4wMsDiNUC/gGaj6AIVDDUDFgyXCFqg9hBGNhmVABDwKNGQnKHBgEeDoKUR9xOcLTcMIwC+30yKxB8Sc/6S5YeBzH/OhHP8o+J0mS2Qnavd/nnntu1sOwdqJuscOayRScnbae6dmOtqSXNADrFhG5r6FsqYjcJCIP1d+X1MtFRL4iIg9LGrz1uBmVeC/Rqgs6nSfARElP7SrK7373u03LpQuFQleZo2eDoU1b0uCtAJKvhDaAq2nRhhQQNWlA1yTZU+O6DO9sIyL9+Mc/bmoUdnagXXbs2JH7PJ20azM9zIuiKIvfMJkT12zQ7pX7JvDqcWWXADer6mHAzfXPkMZsPKz+upA0kOuCwY4lZyrWXqlUYtWqNEJd440cGxujVqtl+SEbFcPu3bupVqtzbk9olGnn5galMA4jJntN1NR9jZE4BtkTxandYzeWNY71jTFNsTPt07PdoZftcTRu3+mTt9H9eqbumY08lSRJy1etVus6Z+REtKUUVPU2YMe44jcC36r//y3gzIbyb2vK74DFko/bOK+xle7zn/9803dxHHd8I4wx3HjjjU1DgWq1yplnnsn69etzldDzPJYuXTojOSG7xXpwJknC1gceoJCAyaqMSVM7KPiagCT4mqBCtqzaxlfwSPCTESSuUbGnOokzk21Y4419jUphbGwMz/N44oknmmI32qngdmjVIzvssMPa2rbxmI1JXmcCG/FpIqVgV7bOBt0Mflaq6kaA+vt+9fLVwJMNv1tfL1tQ3HLLLS3LO430G8cxRx55ZFPmIN/3ufXWW5v89EWE17zmNXPeS4D80zraugPrqTz+GS7j3oFcvAWAwESY3bvqvQmbRGL6+L7P448/njWcRgYGBjpSquOXXq9ePffVtaenh6GhoWwoOf4Vx/GMpAhsxWxYslrV5qYaICIXkg4vWLNmzSyI0R333ntvU9lUhp9WWLfp8Y3cPoUbIy1ZXvOa17QdC3K2sXIng4PQkNshTQXXehl1y2UOmlDdtRNvfw+QVFl0ofdUlRtvvDHzD2jswS1fvryja2dD0sHMZG2eCWq1Gr/85S8n/D4Mw44XyrVLN0phs4isUtWN9eHBlnr5eqBxieGBwIbxG6vqvwP/DnD88cfvNS+P8V28xgZr57zXrVtHEATZRbffh2E4raS1IsKSJUuoVCpZnkJrqR7fS1i8eDFvfvObc2HG54rGGITLRiMSr97g1asbG71U2ycx6nsQJ1B/6Iru6S0Y8fBFeex3v+FZzzkhTSzjTdy9j+M4i5UJe3os1rUY4De/+Q0f/vCHmyJKGWO4+OKLGRkZaVpkNhGN089xHPPKV75yzntqcRzzjne8Y0LbSKasp5lMdzK6UQo/BM4BPld/v7Gh/AMi8j3gRGC3HWbMFxpXO44fj46MjHDRRRe1fNIMDAxkodM6OZaIcOqpp3LDDTe0/L6R4eHhlqHT5ppCtUrs2RRw+QZd8EOqmlAqlBgd1ymUullRgOENT4GJwfNRnTxp1J/+9KfsOttrtHv3bkZHR7nrrru48cYbCcMwd51sHIUzzjijbZtCKxfpAw44oK1tZxNjTKYc9zZtKQURuRZ4BbBcRNYDnyJVBteJyPnAOsCuE/4JcAbwMGkm6nfNsMxdE0VRThnYmAVhGFIul7n++utb5h044IADsqjM7WKftu9973v57ne/m/tuvCHNppK3TjTzxU1WVSnHhig0aS+hASMeSU2JVPF9JqhRgqJUt21BSFATAN6kw4fLL78866nZ6zA8PMzQ0BBPPPEEw8PDuV6f/X/p0qUceOCBbXetW8WmXLlyZVvbzjYTTWc3MhtKoy2loKpvm+CrpsXkml7l93cj1GyzbNmylk/o3//+91x++eWUy+WWSVXe9773dTwrYCvrMccc0/Rdqxt67bXXZgpqrruwsMeOskQ9dgXQG6V2A81s1B4jvUVGk4jYDynVxlIPR1JDkqcQeR4ehp6RQQokxOqhU8RX+NnPftby+oRhmOXqGG/jERG2bElHse0m4x2/D2NMywA7exsr11w8GOaRy9zeY+vWrXz2s5/NPu/evZuHHnqIO+64g6eeeipzcR1fKV/0ohdNy/g3lVea/T6KIk4++eSslzAflALxmcunAAAgAElEQVSk8hcFkglOfZck+It62Tk8RuPcc2pMNKgEGIWSL2ASJBB0knMLgiBb/gx7xs/WjdgmvWnltNRK+U7G+GtsjJkXiVxssN2J6putM7OhNPZJpbBp0yY+97nPZZ/tvLeqZtM9rS72EUccMa3jxXFMT08Py5cvb8rSNB4ben4+KQUADyFp5bEosPiAVRz03CNZ96f74Yl1LbdXgQCl1YzFeMYrA3svrKKYKPYlwJvf/OZsOfR0sHVgvjBvbQpPJ+z0lbU4j294Ey2waaygnTZWW8n2228/tm3blnWB7f6s3UFEstDicz4dmUDsG7zIZ/ejf4Rew0AV0iRxZSTYyUhtMc/4h39k2RFHgA9rzhQ2/OA/iX7yfULdjpcUicXgm9TR6aDBYdBRxCzC8wzZVMU47D1o1SCm6lJ//OMf7zrito27OJfMpaF57ifC5whbuRqnviaiVCqhqplxa7rHO/300xGRljfcyjLXlXE84sPmdetS2TR9znvEoAG7lwzAmgOh4KcLpAKPA154HJv7QoQCOq5XoGrQ2syvlrR5IZYuXdqxl18rBTPnCnmO2bfPvoHJnkCd+tO3Io5jTjvttJZKwSqDFStWzLthgwhsfWIdaF1mMaipUjMF+l7wfCKTEPs+ptCDKRRgxX4s+6sTiFRQE+W9HD1BajP/BPR9n2KxyEEHHTQjXn7z6frPBfukUhhvsW7H0vvlL3+55XLqdomiiNe+9rUTWtRVlUsuuSSTac4REDxqccTgQw+lS6FJZx7ErzA8sD/PPOdCZOUBGAmpJgaVImOLl/OMd7yDoUXLmx2UvATdvRs87XaR5J5d1o2PAwMDrF27tuOuf6tYF7O10GihsE8qhU4plUqceeaZXTmT2KnMVkYsu89TTz01Z3WfazzAJDUKY6OIpkuhjACe0v+sw4n8ErtHKhTEp+iFeAoJBaKgn/7DDs+mHe3ZGI1htJJ5Os4Edqn5pZdemk1HQvtW+VbXer45ju1t9nml0M5c8H777cfKlSuzaL/TwcYSPPnkk5v2Ya3lhx9++LyxfKvUp+cC4SDVdPhQ92aMYtj/XedBspiech8AgQgiECQenunlgLf9DZXhGqkVIn1FGrH5gYcwYiZ1Z1y0aBGFQmFK5WiHYp/85Cf54Ac/yH777dc0czEVNmZBdt51285c006gmca8nzPJPq8UJqKxcp177rkztvjk7LPPbula2yps25yjHlRHKVZH8dS6OIPn90CpjFdLlUcaSAWMpu9e1YeBAXrKi0irWPpSMehote4IPfG5NtpuyuUypVKpac2K7/uUSiXOOeccPvjBD6biTmPOvtU17zRr9WwwPgr4eKwfg40nOZPMs1o4f/B9n0KhgKry1re+lZ6enhnZ7xve8Iamm6iq2fLq+YapjBJGee9O9XsYCXy8BEQUIdUGgiIeeAmM+CGE/bntRITa7sF06fQkFXlsbCzrwlerVaIoamogSZJw+eWXc+WVV9Lf35893Tt9araK0tQqMc/eplAoUK1WJ1w6XSgU8H1/VkL27bNKYfyTZ3yoK7se4hWveAWrV69u6fY8neN5ntd0Iz3P47bbbpt3SsEIeHGNJUmUdvnrT/yN4TIqEoIPAbU0MKsx6TtVKHiY0hK29CzOLY/SAHY+/mQaqEUnr3rLli2jp6cnu2atempXXnllltptuk9Mu86kkUcffbTj/cw0URShqlSr1ZYvm/jW5j6dSfY556WJGP+EsYk+vv71ryPSfmaoqWiVp0BEsvUY88XImM0OjI1SMAm2Q+8psGJ/SmGZBPBJ0HqGSQU8L8YERQKK1JYth8HHcvutjoxfR9mad7/73dRqNR544AFuv/12ent7Wb9+fe7arV+/nu3bt2fXbjq2gFY2paeeeqrj/cw0hUKBoaGhSRu97UXNNPtsT2EqkiTh6KOP5vDDD+/KwDie8ct9IR0/zqekpLl4kdu2QmLH2KnC2u+oIwnwSXzwVbMQbCrgYagJGBWWHfHsLJhrqmQM8Vh74/UrrriCz372s1x77bV89KMfZd26dTmFWSqVCMOQj3zkI1mKtunco1aKZN261q7aexNVpVQqZcbE8S/b25wNo+g+pxREJLfgxXrD2W6953kcddRRfOYzn+HXv/41MDuLTsYzEzkjZwoRoealz//B3/6KDT0JnnoU/FHiQg/LX/Zy/DGD+gpJAVEPER8PH2N6SbwaWq1y4CteD7HPiFchTKASK2qG6KkFxBPFd69jYx729PTwsY99jNtuuy1TpiJCpVJhZGSEq6++mp07d2a9rE7vVePiK/u6/fbbO04PaN9nyvA3UQTnxmGvXRg20/Vmnxw+iKTJX+3/kFaO1atXc/DBB3PWWWdNmHV6X8E22aQW4yP15dKQoISlIgkgyIRTi4VCAXrK9Uqcjtk9z2sdqm0K4jjm6KOPplAoNNkWVJXvfOc7fPSjH6Wnp6fjBtIqwlWnkbxtnMiZyvkw1+yTSmH16tVZtGZrZOrp6WHlypUsW7aM/fbbb17MVc8lgoAq0ViFUATwMPXw7NKTZmP2gVYZXTyEwA+gXEL9EJXU9Xg6T3JI79HixYuzp3ojqsoPfvADPvWpT2WfO6HV75944omO9mEXsNnIXe2GgZuvTKkUROQq4HXAFlV9br3s88DrgQh4BHiXqu4SkYOBB4AH65v/TlXfMwtyd4Uxhle/Ok1jYTW7VQ6NY/v5YvSbK0QNQ9t3srrebmoKYyRQKOAV/NRgKJIqkDoego/UpykNURCiXgFQAs/H1AxoZ7GcrUPXZz/7WT760Y/mFHahUODee+9l06ZNOeelts+xRUDdwcHBjvZxxBFHcMUVV/Da176WQqEwP1a5dkE7kn+T5kQwNwHPVdXnAX8BLm347hFVPab+mncKAfasmbfBVDzPy1yYrSFwId/UmSF1a06qFcRoPRKCEiOpl1LD78aTNTMPEuqh1+x30xw+ALz1rW9tudRdVenr65u2oXH8PjudaXrooYf4yEc+wpIlS+bFsutumfIqaotEMKr6C1W1/bjfkUZsXjD4vt+0ZNpacyuVyoTz4vscWrcp1C+TChjVLMNTGnmxuZX71IcJvkcskoVu83T6RtuxsTFWrlzZ1PBtt/03v/nNtBYyGWNy034i0vE0n4iwbds2Xve6180bN/VumInH4XnATxs+HyIifxSRW0VkQmudiFwoImtFZO3WrVtnQIz2sEYl20NotOZ6nke5nI6X9+bNnU/+CeMpBQUCUpuCF4TEoniFEEyqFIQWcmu6ClIxjI2LYjWdp3kQBJTLZVSVQw45hL6+vuw7q9xf9apXTSvVnjGGAw88MAuBZ/0d2lEwjYFyisUiP/7xjwmCgKeeempB26S6UgoicjkQA1fXizYCa1T1WOCjwDUiMtBqW1X9d1U9XlWPX7FiRTdiOGYTky5qUKlHiVIvnXGYou1l02cNNcxGmZpuEhhjDOedd14uT0Mjvb29HfcWgiDg+OOPz21njCFJkin31Rgbo1HxnX/++VOG3ZvPTFspiMg5pAbId9QjOKOqVVXdXv//LlIj5LNnQlDH3sVWccMejz8xNg7CxEoh1+sRQUTx6oaEBMUvTH/CS1V585vf3DL+oud5DA8Pd9z1932f0047rS5uqshsop6peh12Jef4WZX/+Z//YW/2fmeaaSkFEXk18HHgDao62lC+QuqT0iLyTNLM03PvSO7omKTe8INCMf1fBU2UEC8zNKYd5OYgJVofPmAg0Cp+3fxk0K4iJQdBwKpVq1quYiwUCrzrXe/qeC1AkiS86U1volgsZnYla1eYaqgzMjLSFFzWMjDQsoO8IJhSKUiaCOa3wOEisl7S5C9fBfqBm0TkbhH5t/rPXwbcKyL3ANcD71HV8dmqHQsEFZ+gGKJ1XwRRCMSHpJ7OrdVGjU/XOAETI7pnfO2H07fVqCo9PT0tG34URfz+97/v2EAcxzF9fX1ZenfbyLds2TJlT8EYw7p165rWT9h4kQuVdmYf3qaqq1S1oKoHquqVqvosVT1o/NSjqt6gqs9R1eer6nGq+qPZPwXHbJCmgYWhZYvp1RgkwadAQcYgqlCrjhKYJFMQlhGJSdjN1rEKaEToe/RVhciHssTUDj2k7tvQObYXcvHFFwPknIRUlfXr108YGHciwjDMegTWxyBJEk455RSGhoZabmONiP39/Zx44okAOdvC+BmNvU23btb7+mS8Ywr6Fy9CzZ4mLAqMDoPv1TPIjkvIUg/GUiwWYbwTkBHKPX1dhWOL45jTTz8dmNm4B+Nzfaxbt27Chm0TBT322GNs3ry55b4WMk4pOFoi9T/LVu4PRjKnI08h2rwV/ABMc+v2DXjGJwg8xp58Mr/WwcCipcv27H8aqConnXTShMlennzyyWntt1wu5xpzEASZjaFVUBwRYfXq1S1tJAvdV8EpBUdLRBWjsP+zngVaREjzPhQMbP31LVR9IPEzRyZLgCBJkYpJ2HDTL/HVoFajRCErDz00jQjdkaPzHsIwzBqvzabVyMknnzyt/X7mM5/JBb+p1Wq8+93vZnh4uKVSSJKEL33pSy1Dyv/t3/7ttGSYLzil4GiJaH100N+HsVGSxOApVJ9ajx21j1cKHoJKgBBT27IRT+sJaQWQIvQvSpXCNIe9URRRKBQ4+OCDW0bDmm4shFNOOaXJWPjd736Xvr6+lusjgiDgi1/8YkvF9OIXv3haMswXnFJwNGGnFI0ApV5qEpJNQBqobFiHIcJAy/ySsecReAYd3JEbPkhQhnJf19mUfd/nrLPOaumTMN0IWc985jNzBspFixYxOjraFO3ZkiQJ27Zta7ki8oUvfOG0ZJgvOKXgaEIaZwcWDVAdWApeuorUV0NfZTeLMSSeUh3fXnwYE6VfK5TjIXzb+NVjl98D5R7wdFpxFWBPo3/f+97X9J2Nt2h7EO0EPLEu76VSKZuFUFV27dqF53m8613vAvKBVKrVKv/wD/+AiLBhw4YmGZ73vOfN6YK6bl3mnVJwtMZWLK/ApqhGXKvPMoihrxQg1SEKoZLzYwbGatU0Juv2TXiSZMMEFRgUH4KZMcIdeOCBTcF3Ldddd13H6eOSJGn51L/++uu57777ssjedoXtN7/5zabfep7HkiVLFvxiOqcUHBMiAkngsV0NVZNaD1QMvmeoPvIQJFVMPC6JrBgKJFQfe4SCv6d6qSpDvg++P2Mp41r1AkSEa665puPI2BOtjhwbG+Piiy8mSRKiKML3fd75zne2jLngeR5DQ0OzEkx1b+KUgqM1nuApxIUyi44/DgnSKcDESxgb2s2D/+9bEA+yyM9PyfUEIT2VCv937bfR4Uoa9t3aJw5/FlEQIppMmiGqHXbs2MHKlSubegqjo6PccsstHdsswjDks5/9bFNuURHh1ltvpVwus3r1asrlMjfddBNJkrQ8hg1Nv5BxSsExKQnCqiMPR/ygPotgKJVKlLbvgJHdyDjnQVGFwSH8bdso1mctRFPj4IpnHYL6AXtSyU2fJUuWcOKJJzYpBZs5qdMsT8YY3v3udzeVFwqFbCiyfft2wjBkx44dLRt+HMctM4AtNJxScLTEoPUgKrDikGcg3p45fN+DgWqVx+65G4b3xBRQVWrVKpvvWMsik1Bu3Mb3WXnowXieP23HpUZEhHe+850tlQIwoXPTRBhjWjZ0m52qVqtRLBYZHR1FRBgdHc3kaOT1r3/9go6lAE4pzAmtjGOz/XTpdP+CYFDCxEcPPhY1AaGOQdKH1ioUzG7if/smDN0HccSQgGhC4Vdr2Xn9N1gSDzEc7kbxSPyIES1RPOrFaao5itlsRje84Q1vaMrSbR2bNm7cCLSfQdr2CBojQttrZvdp43c2Xkvrs2C3eclLXrLgQ/ktbOkds46NUFXJVZW0B1AueNz3oxth53YGTA22b+XPv7mFEJOmhdMAFYOnHqNR3PVU2Xjs/hojMdnyH//4x5n8neyvWq22rUis/SGOY3zf59BDD2VwcHDeRtFqF6cUHJNi5/FHwwAlwHgKmiaAKZOw8Z61bLzll+z+3e3p+6MPUCIBAtACYBD12B0nE04hThc7BTgeVeXaa6/t+IndTXpAa0/odNgyH9kn8z442sda2Zef/kqqP/oPkIhE+1FvjCDayVHlEoM//DaDhTIajfJMv0ZYNSQUwRTB24bGZRb/1V/NaLfahnb77ne/y2tf+9rcdyLC2rVrGRsb62gJs+/7LF26NJt+tMeZTAZLoVDgsssuW/A+CtBekJWrRGSLiNzXUPZpEXmqHmDlbhE5o+G7S0XkYRF5UEReNVuCO/YuK447htGgUI/s7GHEIJ7BGx5isUQMRLtZ6seEtRHURCSk/giCIZYCy45+bkMvYWYMcao66Ri+05gGIsLll1/e8cyFPZYN4bYvDB++SXPeB4AvNwRZ+QmAiBwFvBV4Tn2br9nwbI6FiR0++GsOZqhQxFeAGBWD8ZTQCNRG8GujUBshkBjxPRIPfI0JDIwGJZYcfjjgzWiDUVX6+/tbKoVarZbNELSLiHDBBRe0/XtrbwnDkNNOO60pT+lCZVp5HybhjcD36gFcHwMeBk7oQr6uiOO4ZXduLjV5pVLJfPSt110YhrMukw1h3pi5eLJ1/wL44qU+BuJR7VlM38tPoVYRfB3E04jI8/HoxQQBvu+T+D41QmIvoOBDaIbwTIldz3gGeuAzs+52YyOO4zgLtd/IVF6BVlmJCP39/QBNDfLss8/u6KkvIvi+z1133YWIZPaBRnkbZbXBVowxXH/99U25RNplbGysaTvrVj0ZNmlRo3zlcrnrKdFuBnkfEJF768MLa+1ZDTRGuVhfL2tib+R9sI4sWbjx+quTcF0zja1oSZJksk3kHTcb2OPaa9BuBRIC1rzi5RR6lxIEEBiDQVAKiCkg6iOmkNoS1MPENYo+mEIvB51wEvjllkFOgyDIFi413qNOApW8+c1vxvd9KpVK5o2YJAm33nprx+7OURRx3HHH0dvbS7VaJQzD7BrZSM/WnhHHMcVika997Wstl3G3i60Tjec/Ojqai+8wnkYFa7NcST2XZbf1e7pK4evAocAxpLkevlgvb/W4a1nb90beB9vYxiuFuQyXFccxPT09Wdo6+8SbbUU1NDREsVjMjmsb3VTGP9uQ/cSH/Q9gFwFVExOon+aAwKOQ+Iim70YL+EbwiYnVsCPxWHz88anSED+LYWgrtTGph2TjeNxel3YwxnD22Wdn52Of9oVCgV27dnW8DmFsbAxV5dWvfjWlUinbvtFWYGUtlUqoKm9/+9u7mnVIkiTrLdpXX1/fpLJbRWUjRDXK1+0QZlpKQVU3q2qiqgb4BnuGCOuBgxp+eiCwYfz2ewvP81ixYkXmcGJf4+e19yZhGGbr9K3SqtVqs64U+vv7s16JfVUqlSmt5XuUgkclXMLSM17Ltr5FYAJ8NfhUKRjFU1N/9yhous8dpUVUnnscyYo1EPlY/aO651xtvobG9QY2tXs7jI6O8sIXvjBb+myVjX2ad7oOob+/H1Xluuuu49JLL826541PZivfqlWr+N3vfkdPT0/uad0p9mnfWEeHh4cnVTR2OGiP27hWY6JkOe0yrSlJEVmlqhvrH98E2JmJH5JmhfoScABp3oc7upKwS97ylrc0rWhbvnz5HEmT9hTe//73Z59t5Z1tL7hKpcIFF1zQlLG5k0psJKT/mOfx8G//G0ZAdAyhiopPHNQIYkB8PBKqnrDVhBz1ileQFEr49TY+vuEkScJ73/veXFk742mL9Ss4//zzqdVqOQ9Hu2KxE9+DWq1GEARUKhUuu+wybrnlFm677bYsk7SqUqlUGBgY4BOf+ATHHntsliNiunahKIr4u7/7u5a2gcnqhYhw/vnnEwRBpkTjOOYZz3jGtOTI9ttGEIprgVcAy4HNwKfqn48hHRo8DrzbKglJU8mdR5pO7sOq+tOmnY7j+OOP17Vr1073HCZlw4YNTeNTVWW//fableNNRRzHjI6O5ubBwzBsGdZrJjHGsHXr1twYe9myZW1VZFVFasoOU2PpyCYe/dbXWHbnXSSyi9DERFIiCiLCOCSRIuVkhEpYZtuBR3HExy6jsuQZlGJQP10cqZrQOCm1c+fOnJGuWCy2lUzFPhlrtRo7d+4kDMNc7oZqtcr+++/fkV3B2nmszeCOO+7gC1/4Aj/+8Y+JoggR4cgjj+TMM8/ksssuw/f9TOl0o9g3bdqUk9P3ffr6+iZVaKrKpk2bKBaLmVLwPI9ly5a1/L2I3KWqx08ly5RKYW8wW0rBVrL55IveSqa5krOT4zYaJgu1Ldz0iSs4bOOTHBwPsb4volhTakWfxaM1dhaXcF9pOadc8mlY/exc5qXxNNY/+/10rsdsXVd73lEUZcY/O9sxU/drvJy51HuT0LgOw2472Tm3qxTmT2txLAhEBLyA4089jZFymS1GCZMiZthgRpRhP2RLHPPs44+nsGjRgnfksYRhyOLFi1tGZ3q64ZSCo21sA0+kwJKjj0YPeQaDy5YjtRJLB1bTW1jKFr9Ez7OP4pC/egn0Lp5jibuncUbA9/1JpwmfLjytz3A+PqVayTRXck7XUg5L0APKPPfvP0b8+MNs//UdPLZxC+Vli3nWCc+jdMRRJH3LqUoPpSkeOzN1PWbrutp9WAv/TO231TEm+tzudp1sOxlOKexlFrpSSLcRkCIm7CU4+FmsHFjC0l1DFJYugmXLSdSn6hWpBR4l7dy7bj4qhZna31TH6HZbpxQce5VsOlEgMR5+aYA4DPH7+iisjDGhT2x8Ar+IJwXSn84/xTwd5qPRerZwSsHRFo0OMokHAR6J+kR+mZASXiktj/HxEgiZ+SfYXLIvKAOLUwqOzpEY46Uuzr4qvhEEQRJQX0ijuQoFNYBbJLvQcErB0TEemsZTMErReNjlLQIEJkYFlAQ/UbTDBUmOuccpBUdbNHb/PSOIJ3jipQkdAkHrSWM9YmKbx36G4yc49g5OKTjaIt+4bZYnP61BHqCaKgYUH0HxYB8ahz+dcHfN0TGx+ICPCtRsDarPTKSKwcdTH+N6CQsS11NwdEwAWeQMu9RMsvcwK3BPnIWJu28OhyOHUwoOhyOHUwoOhyPHdPM+/IfsyfnwuIjcXS8/WETGGr77t9kU3uFwzDztGBq/CXwV+LYtUNW/sf+LyBeB3Q2/f0RVj5kpAR0Ox95lSqWgqreJyMGtvpN08vqvgVNmViyHwzFXdGtTeCmwWVUfaig7RET+KCK3ishLu9y/w+HYy3Trp/A24NqGzxuBNaq6XUReAPxARJ6jqoPjNxSRC4ELAdasWdOlGA6HY6aYdk9BRALgLOA/bFk9Xdz2+v93AY8Az261/d5IBuNwODqnm+HDacD/qep6WyAiK6Qeu1tEnkma9+HR7kR0OBx7k3amJK8FfgscLiLrReT8+ldvJT90AHgZcK+I3ANcD7xHVdtNTutwOOYB7cw+vG2C8nNblN0A3NC9WA6HY65wHo0OhyOHUwoOhyOHUwoOhyOHUwoOhyOHUwoOhyOHUwoOhyOHUwoOhyOHUwoOhyOHUwoOhyOHUwoOhyOHUwoOhyOHUwoOhyOHUwoOhyOHUwoOhyOHUwoOhyNHO0FWDhKR/xWRB0TkzyLyoXr5UhG5SUQeqr8vqZeLiHxFRB4WkXtF5LjZPgmHwzFztNNTiIGLVPVI4CTg/SJyFHAJcLOqHgbcXP8M8BrSMGyHkQZm/fqMS+1wOGaNKZWCqm5U1T/U/x8CHgBWA28EvlX/2beAM+v/vxH4tqb8DlgsIqtmXHKHwzErdGRTqCeFORb4PbBSVTdCqjiA/eo/Ww082bDZ+nqZw+FYALStFESkjzT+4odb5XFo/GmLMm2xvwtFZK2IrN26dWu7YjgcjlmmLaUgIgVShXC1qv5XvXizHRbU37fUy9cDBzVsfiCwYfw+Xd4Hh2N+0s7sgwBXAg+o6pcavvohcE79/3OAGxvKz67PQpwE7LbDDIfDMf9pJ23ci4F3An+yKeeBy4DPAdfV80CsA95S/+4nwBnAw8Ao8K4ZldjhcMwq7eR9+DWt7QQAp7b4vQLv71Iuh8MxRziPRofDkcMpBYfDkcMpBYfDkcMpBYfDkcMpBYfDkcMpBYfDkcMpBYfDkcMpBYfDkcMpBYfDkcMpBYfDkcMpBYfDkcMpBYfDkcMpBYfDkcMpBYfDkcMpBYfDkcMpBYfDkcMpBYfDkcMpBYfDkUPS6GlzLITIVmAE2DbXsnTBcha2/LDwz2Ghyw+zew7PUNUpQ6fPC6UAICJrVfX4uZZjuix0+WHhn8NClx/mxzm44YPD4cjhlILD4cgxn5TCv8+1AF2y0OWHhX8OC11+mAfnMG9sCg6HY34wn3oKDodjHjDnSkFEXi0iD4rIwyJyyVzL0y4i8riI/ElE7haRtfWypSJyk4g8VH9fMtdyNiIiV4nIFhG5r6Gspcz1XKBfqd+Xe0XkuLmTPJO1lfyfFpGn6vfhbhE5o+G7S+vyPygir5obqfcgIgeJyP+KyAMi8mcR+VC9fH7dA1WdsxfgA48AzwRC4B7gqLmUqQPZHweWjyv7Z+CS+v+XAP8013KOk+9lwHHAfVPJTJoP9KekKQNPAn4/T+X/NHBxi98eVa9PReCQej3z51j+VcBx9f/7gb/U5ZxX92CuewonAA+r6qOqGgHfA944xzJ1wxuBb9X//xZw5hzK0oSq3gbsGFc8kcxvBL6tKb8DFovIqr0jaWsmkH8i3gh8T1WrqvoYacLjE2ZNuDZQ1Y2q+of6/0PAA8Bq5tk9mGulsBp4suHz+nrZQkCBX4jIXSJyYb1spapuhLQCAPvNmXTtM5HMC+nefKDevb6qYcg2r+UXkYOBY4HfM8/uwVwrhVbZrBfKdMiLVfU44DXA+0XkZXMt0AyzUO7N14FDgWOAjcAX6+XzVn4R6QNuAD6sqoOT/aKA7H4AAAFTSURBVLRF2ayfw1wrhfXAQQ2fDwQ2zJEsHaGqG+rvW4Dvk3ZNN9vuXf19y9xJ2DYTybwg7o2qblbVRFUN8A32DBHmpfwiUiBVCFer6n/Vi+fVPZhrpXAncJiIHCIiIfBW4IdzLNOUiEiviPTb/4HTgftIZT+n/rNzgBvnRsKOmEjmHwJn1y3gJwG7bRd3PjFujP0m0vsAqfxvFZGiiBwCHAbcsbfla0REBLgSeEBVv9Tw1fy6B3NpjW2wsP6F1Dp8+VzL06bMzyS1bN8D/NnKDSwDbgYeqr8vnWtZx8l9LWkXu0b6FDp/IplJu67/X/2+/Ak4fp7K/526fPeSNqJVDb+/vC7/g8Br5oH8LyHt/t8L3F1/nTHf7oHzaHQ4HDnmevjgcDjmGU4pOByOHE4pOByOHE4pOByOHE4pOByOHE4pOByOHE4pOByOHE4pOByOHP8/FBV/2B5bqoUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from PIL import Image\n",
    "import numpy as np\n",
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "pytorch = np.array(Image.open(\"./imgs/pytorch.jpg\").resize((224,224)))\n",
    "print(pytorch.shape)\n",
    "pytorch_tensor = torch.from_numpy(pytorch)\n",
    "pytorch_tensor.size()\n",
    "plt.imshow(pytorch)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
